Pairwise Weakly Regular-Lindelöf Spaces

Abstract and Applied Analysis ◽

10.1155/2008/184243 ◽

2008 ◽

Vol 2008 ◽

pp. 1-13 ◽

Cited By ~ 2

Author(s):

Adem Kılıçman ◽

Zabidin Salleh

Keyword(s):

Hereditary Property ◽

Bitopological Spaces

We will introduce and study the pairwise weakly regular-Lindelöf bitopological spaces and obtain some results. Furthermore, we study the pairwise weakly regular-Lindelöf subspaces and subsets, and investigate some of their characterizations. We also show that a pairwise weakly regular-Lindelöf property is not a hereditary property. Some counterexamples will be considered in order to establish some of their relations.

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Fuzzy pairwise regular bitopological spaces in quasi-coincidence sense

Journal of Bangladesh Academy of Sciences ◽

10.3329/jbas.v44i2.51458 ◽

2021 ◽

Vol 44 (2) ◽

pp. 139-143

Author(s):

Md Ruhul Amin ◽

Md Sahadat Hossain ◽

Saikh Shahjahan Miah

Keyword(s):

Hereditary Property ◽

Continuous Mappings ◽

Academy Of Sciences ◽

Bitopological Spaces

This paper introduces three notions of fuzzy pairwise regular between bitopological spaces in quasi-coincidence sense. Then, we investigate some relations between ours and other counterparts. We observe that all these concepts are preserved under one-one, onto, fuzzy closed, fuzzy open, and fuzzy continuous mappings. Also, the hereditary property is satisfied by these concepts. Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 139-143, 2020

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$\mathcal{AC}^{}$ AND $\mathcal{AC}_{2}^{}$-PAIRWISE PARACOMPACTNESS IN BITOPOLOGICAL SPACES

Advances in Mathematics: Scientific Journal ◽

10.37418/amsj.9.11.84 ◽

2020 ◽

Vol 9 (11) ◽

pp. 9753-9757

Author(s):

S. Umamaheswari ◽

M. Saraswathi

Keyword(s):

Bitopological Spaces

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Operations and its applications on L-fuzzy bitopological spaces: Part I

Fuzzy Sets and Systems ◽

10.1016/s0165-0114(97)00250-9 ◽

1999 ◽

Vol 106 (2) ◽

pp. 255-274

Author(s):

A. Kandil ◽

A.S. Abd-Allah ◽

A.A. Nouh

Keyword(s):

Bitopological Spaces

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Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Mathematics ◽

10.3390/math9151781 ◽

2021 ◽

Vol 9 (15) ◽

pp. 1781

Author(s):

Samer Al Ghour

Keyword(s):

Topological Space ◽

Sufficient Conditions ◽

Soft Sets ◽

New Concepts ◽

Bitopological Spaces ◽

The Relationship ◽

Soft Topological Space

In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p-open sets and each of the soft u-open sets and soft s-open sets, respectively. In addition to these, we introduce the soft u-ω-open, soft p-ω-open, and soft s-ω-open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u-open sets, soft p-open sets, and soft s-open sets, respectively. Via soft u-open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.

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Generalized ψ∗-closed sets in bitopological spaces

Journal of the Egyptian Mathematical Society ◽

10.1016/j.joems.2014.12.005 ◽

2015 ◽

Vol 23 (3) ◽

pp. 527-534 ◽

Cited By ~ 1

Author(s):

H.M. Abu Donia ◽

M.A. Abd Allah ◽

A.S. Nawar

Keyword(s):

Closed Sets ◽

Bitopological Spaces

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Minimal Characteristic Algebras for Rectangular k-Normal Identities

Algebra Colloquium ◽

10.1142/s1005386711000460 ◽

2011 ◽

Vol 18 (04) ◽

pp. 611-628

Author(s):

K. Hambrook ◽

S. L. Wismath

Keyword(s):

Hereditary Property ◽

Fixed Type ◽

Hereditary Properties

A characteristic algebra for a hereditary property of identities of a fixed type τ is an algebra [Formula: see text] such that for any variety V of type τ, we have [Formula: see text] if and only if every identity satisfied by V has the property p. This is equivalent to [Formula: see text] being a generator for the variety determined by all identities of type τ which have property p. Płonka has produced minimal (smallest cardinality) characteristic algebras for a number of hereditary properties, including regularity, normality, uniformity, biregularity, right- and leftmost, outermost, and external-compatibility. In this paper, we use a construction of Płonka to study minimal characteristic algebras for the property of rectangular k-normality. In particular, we construct minimal characteristic algebras of type (2) for k-normality and rectangularity for 1 ≤ k ≤ 3.

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