scholarly journals Vietoris topology on spaces dominated by second countable ones

2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Carlos Islas ◽  
Daniel Jardon
Keyword(s):  
Compact Space ◽  
Discrete Space ◽  
Vietoris Topology ◽  
The Family ◽  
Nonempty Compact ◽  
The One ◽  
Eberlein Compact ◽  
One Point Compactification ◽  
Compact Subsets

AbstractFor a given space X let C(X) be the family of all compact subsets of X. A space X is dominated by a space M if X has an M-ordered compact cover, this means that there exists a family F = {FK : K ∈ C(M)} ⊂ C(X) such that ∪ F = X and K ⊂ L implies that FK ⊂ FL for any K;L ∈ C(M). A space X is strongly dominated by a space M if there exists an M-ordered compact cover F such that for any compact K ⊂ X there is F ∈ F such that K ⊂ F . Let K(X) D C(X)\{Ø} be the set of all nonempty compact subsets of a space X endowed with the Vietoris topology. We prove that a space X is strongly dominated by a space M if and only if K(X) is strongly dominated by M and an example is given of a σ-compact space X such that K(X) is not Lindelöf†. It is stablished that if the weight of a scattered compact space X is not less than c, then the spaces Cp(K(X)) and K(Cp(X)) are not Lindelöf Σ. We show that if X is the one-point compactification of a discrete space, then the hyperspace K(X) is semi-Eberlein compact.

Spaces which Cannot be Written as a Countable Disjoint Union of Closed Subsets

1973 ◽  
Vol 16 (3) ◽  
pp. 435-437 ◽  
Author(s):  
C. Eberhart ◽  
J. B. Fugate ◽  
L. Mohler
Keyword(s):  
Hausdorff Space ◽  
Disjoint Union ◽  
Hausdorff Spaces ◽  
Locally Compact ◽  
The One ◽  
One Point Compactification ◽  
Compact Subsets

It is well known (see [3](1)) that no continuum (i.e. compact, connected, Hausdorff space) can be written as a countable disjoint union of its (nonvoid) closed subsets. This result can be generalized in two ways into the setting of locally compact, connected, Hausdorff spaces. Using the one point compactification of a locally compact, connected, Hausdorff space X one can easily show that X cannot be written as a countable disjoint union of compact subsets. If one makes the further assumption that X is locally connected, then one can show that X cannot be written as a countable disjoint union of closed subsets.(2)

scholarly journals Topologies on Superspaces of TVS-Cone Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Xun Ge ◽  
Shou Lin
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Vietoris Topology ◽  
Cone Metric Spaces ◽  
Nonempty Compact ◽  
Cone Metric ◽  
Compact Subsets

This paper investigates superspaces𝒫0(X)and𝒦0(X)of a tvs-cone metric space(X,d), where𝒫0(X)and𝒦0(X)are the space consisting of nonempty subsets ofXand the space consisting of nonempty compact subsets ofX, respectively. The purpose of this paper is to establish some relationships between the lower topology and the lower tvs-cone hemimetric topology (resp., the upper topology and the upper tvs-cone hemimetric topology to the Vietoris topology and the Hausdorff tvs-cone hemimetric topology) on𝒫0(X)and𝒦0(X), which makes it possible to generalize some results of superspaces from metric spaces to tvs-cone metric spaces.

scholarly journals Semigroups of continuous selfmaps for which Green's and ℐ relations coincide

1979 ◽  
Vol 20 (1) ◽  
pp. 25-28 ◽  
Author(s):  
K. D. Magill
Keyword(s):  
Topological Space ◽  
Metric Spaces ◽  
Transformation Semigroup ◽  
Doctoral Dissertation ◽  
Discrete Space ◽  
Full Transformation ◽  
Full Transformation Semigroup ◽  
The One ◽  
One Point Compactification ◽  
Countably Infinite

For algebraic terms which are not defined, one may consult [2]. The symbol S(X) denotes the semigroup, under composition, of all continuous selfmaps of the topological space X. When X is discrete, S(X) is simply the full transformation semigroup on the set X. It has long been known that Green's relations and ℐ coincide for [2, p. 52] and F. A. Cezus has shown in his doctoral dissertation [1, p. 34] that and ℐ also coincide for S(X) when X is the one-point compactification of the countably infinite discrete space. Our main purpose here is to point out the fact that among the 0-dimensional metric spaces, Cezus discovered the only nondiscrete space X with the property that and ℐ coincide on the semigroup S(X). Because of a result in a previous paper [6] by S. Subbiah and the author, this property (for 0-dimensional metric spaces) is in turn equivalent to the semigroup being regular. We gather all this together in the following

scholarly journals Volterra spaces revisited

2005 ◽  
Vol 79 (1) ◽  
pp. 61-76 ◽  
Author(s):  
Jiling Cao ◽  
David Gauld
Keyword(s):  
Homogeneous Space ◽  
Vietoris Topology ◽  
Topological Properties ◽  
Category Theorem ◽  
Nonempty Compact ◽  
Compact Subsets

AbstractIn this paper, we investigate Volterra spaces and relevant topological properties. New characterizations of weakly Volterra spaces are provided. An analogy of the Banach category theorem in terms of Volterra properties is obtained. It is shown that every weakly Volterra homogeneous space is Volterra, and there are metrizable Baire spaces whose hyperspaces of nonempty compact subsets endowed with the Vietoris topology are not weakly Volterra.

Murder with Impunity: The Construction of Arab Masculinities and Honor Crimes

1970 ◽  
pp. 38-45
Author(s):  
May Abu Jaber
Keyword(s):  
Violence Against Women ◽  
Social Boundaries ◽  
Religious Institutions ◽  
The Social ◽  
The Family ◽  
The Media ◽  
The One ◽  
Male Authority ◽  
Cultural Networks ◽  
Gender Specific

Violence against women (VAW) continues to exist as a pervasive, structural,systematic, and institutionalized violation of women’s basic human rights (UNDivision of Advancement for Women, 2006). It cuts across the boundaries of age, race, class, education, and religion which affect women of all ages and all backgrounds in every corner of the world. Such violence is used to control and subjugate women by instilling a sense of insecurity that keeps them “bound to the home, economically exploited and socially suppressed” (Mathu, 2008, p. 65). It is estimated that one out of every five women worldwide will be abused during her lifetime with rates reaching up to 70 percent in some countries (WHO, 2005). Whether this abuse is perpetrated by the state and its agents, by family members, or even by strangers, VAW is closely related to the regulation of sexuality in a gender specific (patriarchal) manner. This regulation is, on the one hand, maintained through the implementation of strict cultural, communal, and religious norms, and on the other hand, through particular legal measures that sustain these norms. Therefore, religious institutions, the media, the family/tribe, cultural networks, and the legal system continually disciplinewomen’s sexuality and punish those women (and in some instances men) who have transgressed or allegedly contravened the social boundaries of ‘appropriateness’ as delineated by each society. Such women/men may include lesbians/gays, women who appear ‘too masculine’ or men who appear ‘too feminine,’ women who try to exercise their rights freely or men who do not assert their rights as ‘real men’ should, women/men who have been sexually assaulted or raped, and women/men who challenge male/older male authority.

scholarly journals Personality and Dementia: an Approach to Differential Profile of the Caregiver

2011 ◽  
Vol 1 (3) ◽  
pp. 85-94
Author(s):  
Elena de Andrés-Jiménez ◽  
Rosa Mª Limiñana-Gras ◽  
Encarna Fernández-Ros
Keyword(s):  
Relevant Information ◽  
Personality Profile ◽  
Family Carers ◽  
Psychological Variables ◽  
People With Dementia ◽  
The Family ◽  
Study Population ◽  
The One ◽  
The Impact

The aim of this study is to determine the existence of a characteristic personality profile of family carers of people with dementia. The correct knowledge and use of psychological variables which affect the carer, helps to promote appropriate actions to mitigate the impact of care and improve the carer’s quality of life and likewise the one of the person cared for. The study population consists of 69 family carers of people with dementia, members of various associations and care centers. The results allow us to identify a characteristic personality profile for these carers and it reveals a specific psychological working in this sample, although we cannot directly relate it with the tasks of caring for people with this disease, this profile gives us very relevant information to pay more attention to the needs of this group. Moreover, the analysis of personality styles depends on the sex of the family carer, showing, once again, that the woman is in a situation of most vulnerability.

scholarly journals The Image of the Family and Family Home in Małgorzata Musierowicz’s Series of Novels, and the Stereotype of the Family in Contemporary Polish Society

2021 ◽  
Author(s):  
Joanna Senderska ◽  
Iwona Mityk ◽  
Ewa Piotrowska-Oberda
Keyword(s):  
Social Consciousness ◽  
Traditional Family ◽  
Patriarchal Family ◽  
Family Model ◽  
The Family ◽  
Language Data ◽  
Polish Society ◽  
Family Home ◽  
The One ◽  
Over 40 Years

AbstractThe article discusses the image of the family and the family home in a series of novels for young people by the popular Polish writer Małgorzata Musierowicz in the context of literary conventions and stereotypes about the family in contemporary Polish society. The novels, which cover a period of over 40 years, generally fit contemporary Polish realities; however, the didactic function of the novels results in the author creating an idealized image of the Polish intellectual family, filling the readers with optimism. The picture created by the writer, on the one hand, fits perfectly into the stereotype of the family, which is one of the values highly esteemed by Poles. On the other hand, it adapts to the conventions of novels for girls. In this article, the stereotype of the family is reconstructed on the basis of language data and surveys. We present the meanings and contexts of family as a noun and family as an adjective. We also present the results of our survey, the aim of which was to determine an essence of a stereotypical family and how the traditional family model is comprehended by respondents coming from various groups. We also present the respondents’ attitude to the patriarchal family model and the division of roles into male and female. In our opinion, the correspondence between the family picture created in the novels and the image of the family operating in social consciousness is the reason for the popularity of the series.

scholarly journals Two Separate Cases: Complex Chromosomal Abnormality Involving Three Chromosomes and Small Supernumerary Marker Chromosome in Patients with Impaired Reproductive Function

Genes ◽  
2020 ◽  
Vol 11 (12) ◽  
pp. 1511
Author(s):  
Tatyana V. Karamysheva ◽  
Tatyana A. Gayner ◽  
Vladimir V. Muzyka ◽  
Konstantin E. Orishchenko ◽  
Nikolay B. Rubtsov
Keyword(s):  
Genetic Counseling ◽  
Chromosome Rearrangement ◽  
Marker Chromosome ◽  
Reproductive Function ◽  
Small Supernumerary Marker Chromosome ◽  
Comprehensive Chromosome Screening ◽  
The Family ◽  
Multicolor Banding ◽  
The One

For medical genetic counseling, estimating the chance of a child being born with chromosome abnormality is crucially important. Cytogenetic diagnostics of parents with a balanced karyotype are a special case. Such chromosome rearrangements cannot be detected with comprehensive chromosome screening. In the current paper, we consider chromosome diagnostics in two cases of chromosome rearrangement in patients with balanced karyotype and provide the results of a detailed analysis of complex chromosomal rearrangement (CCR) involving three chromosomes and a small supernumerary marker chromosome (sSMC) in a patient with impaired reproductive function. The application of fluorescent in situ hybridization, microdissection, and multicolor banding allows for describing analyzed karyotypes in detail. In the case of a CCR, such as the one described here, the probability of gamete formation with a karyotype, showing a balance of chromosome regions, is extremely low. Recommendation for the family in genetic counseling should take into account the obtained result. In the case of an sSMC, it is critically important to identify the original chromosome from which the sSMC has been derived, even if the euchromatin material is absent. Finally, we present our view on the optimal strategy of identifying and describing sSMCs, namely the production of a microdissectional DNA probe from the sSMC combined with a consequent reverse painting.

Apocalyptic Antinomies in Paul's Letter to the Galatians

1985 ◽  
Vol 31 (3) ◽  
pp. 410-424 ◽  
Author(s):  
J. Louis Martyn
Keyword(s):  
The Family ◽  
Positive Sense ◽  
History Of ◽  
The One

At several junctures in the history of its interpretation Paul's letter to the Galatians has been seen as the embarrassing member of the Pauline letter-family, the one refusing to be brought into line with the others, and even, in some regards, the one threatening the unity and good-natured comradery of the family. Luther, to be sure, called on the familial image in an entirely positive sense, when he confessed himself to be happily betrothed to the letter. Others have considered that betrothal the prelude to an unfortunate marriage, in which Luther was led astray, or led further astray, by this intractable and regrettable letter.

THE DECADENCE OF THE AMERICAN FAMILY AS VIEWED IN 1884

PEDIATRICS ◽  
1977 ◽  
Vol 59 (1) ◽  
pp. 91-91
Author(s):  
T. E. C.
Keyword(s):  
New England ◽  
European Country ◽  
Family Life ◽  
American Family ◽  
Domestic Life ◽  
Additional Element ◽  
Mutual Help ◽  
Progressive Deterioration ◽  
The Family ◽  
The One

Almost a century ago editorials such as the one below expressed the fear that the American family was in serious trouble. We do not like to be doleful, but it is impossible to ignore some of the facts that have been presented with the last year or two [1882] by Dr. Goodell, Dr. Nathan Allen, and others. These facts relate to...the decadence of family life among Americans. Dr. Allen, who has been studying this subject for many years, presents the case very directly in an article entitled "The New England Family" (The New Englander). It is asserted that the objects of the institution of the family are three: the propagation of children, the preservation of chastity, mutual help and company. In each of these respects the American family, especially the New England family, shows a marked and progressive deterioration, since one hundred years ago. As regards the propagation of children, it is shown that the average native New England family is very much less productive than formerly.... The birthrate in New England families has been steadily declining until now it is lower than that of any European country except France. One additional element in this, no doubt, is the habit of delaying marriages-a habit made almost necessary by the more expensive style of living which is demanded, and by what some consider the selfishness of young men who prefer not to sacrifice their liberty to the responsibility and expense of domestic life. Another indication of family deterioration is the increase of divorces.

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