On fuzzy regular volterra spaces

Thangaraj G; Soundara Rajan S

doi:10.26524/cm63

Classifications of Pairwise Fuzzy Volterra Spaces

International Journal of Engineering and Advanced Technology - Regular Issue ◽

10.35940/ijeat.a1051.1291s52019 ◽

2019 ◽

Vol 9 (1S5) ◽

pp. 199-202

Keyword(s):

The Other ◽

Bitopological Space ◽

Dense Sets ◽

Definition Of ◽

Residual Sets ◽

Bitopological Spaces

The main focus of this paper is to introduce the new types of pairwise fuzzy Volterra spaces such as by introducing pairwise fuzzy residual sets in the place of pairwise fuzzy Gδ -sets in the definition of pairwise fuzzy Volterra space, a new kind of fuzzy bitopological space namely, pairwise fuzzy εr -Volterra spaces has been introduced and studied and also by introducing pairwise fuzzy pre-open sets in the place of pairwise fuzzy dense sets in the definition of pairwise fuzzy Volterra space, another kind of fuzzy bitopological space namely, pairwise fuzzy εr - Volterra spaces has been introduced and studied. Some of their characterizations and relationships with the other fuzzy bitopological spaces have been investigated and studied.

Stalking the Souslin Tree—A Topological Guide

Canadian Mathematical Bulletin ◽

10.4153/cmb-1976-051-3 ◽

1976 ◽

Vol 19 (3) ◽

pp. 337-341 ◽

Cited By ~ 2

Author(s):

Franklin D. Tall

Keyword(s):

Topological Space ◽

Chain Condition ◽

Local Connectivity ◽

First Category ◽

Countable Chain Condition ◽

Countable Chain ◽

Dense Sets ◽

Natural Way

It has long been known that the existence of a Souslin line entails (and is entailed by) the existence of a Souslin tree; indeed such a tree can be built from the open subsets of the line in a natural way. It will be shown that less onerous restrictions on a topological space than orderability allow the construction to proceed. For example, to the expected requirements-that the space satisfy the countable chain condition and not be separable, one can add the hypothesis of local connectivity, and that either first category sets be nowhere dense or that nowhere dense sets be separable.

Meager nowhere-dense games (IV): n-tactics (continued)

Journal of Symbolic Logic ◽

10.2307/2275411 ◽

1994 ◽

Vol 59 (2) ◽

pp. 603-605 ◽

Cited By ~ 1

Author(s):

Marion Scheepers

Keyword(s):

Real Line ◽

Winning Strategy ◽

The Real ◽

First Category ◽

Infinite Game ◽

New Information ◽

Dense Sets

AbstractWe consider the infinite game where player ONE chooses terms of a strictly increasing sequence of first category subsets of a space and TWO chooses nowhere dense sets. If after ω innings TWO's nowhere dense sets cover ONE's first category sets, then TWO wins. We prove a theorem which implies for the real line: If TWO has a winning strategy which depends on the most recent n moves of ONE only, then TWO has a winning strategy depending on the most recent 3 moves of ONE (Corollary 3). Our results give some new information concerning Problem 1 of [S1] and clarifies some of the results in [B-J-S] and in [S1].

EFEKTIVITAS PEMBERIAN HYDROTHERAPI RENDAM KAKI PADA PENDERITA HIPERTENSI DI BANJAR SRI MANDALA, KELURAHAN DAUHWARU KABUPATEN JEMBRANA

JURNAL WIDYA BIOLOGI ◽

10.32795/widyabiologi.v10i01.235 ◽

2019 ◽

Vol 10 (01) ◽

pp. 33-44

Author(s):

N.L.G. Sudaryati ◽

I P. Sudiartawan ◽

Dwi Mertha Adnyana

Keyword(s):

Blood Pressure ◽

Systolic Blood Pressure ◽

Diastolic Blood Pressure ◽

Pressure Measurement ◽

Blood Pressure Measurement ◽

Reduce Blood Pressure ◽

Second Grade ◽

Control Group ◽

Hypertensive Patients ◽

First Category

The aim of the study was to determine the effectiveness of giving hydrotherapi foot soak in hypertensive patients. The study was conducted with one group pretestposttest design without a control group by measuring blood pressure (pretest) before being given an intervention in the form of foot soak hydrotherm against 15 people with hypertension in Banjar Sri Mandala, Dauhwaru Village, Jembrana Subregency. Then do the blood pressure measurement again (posttest) after finishing the intervention. After the study was completed, the results showed that before the hydrotherapi foot bath intervention, there were 0% of patients classified as normal, 13.32% in prehypertension category, 60.08% in hypertension category I and 26.60% in hypertension category II. After the intervention was given, there were 13.32% of the patients classified as normal, 66.68% in the prehypertension category, 20.00% in the first category of hypertension and no patients belonging to the second grade hypertension category. There is a decrease of 20-30 mmHg for systolic blood pressure and 0-10 mmHg for diastolic blood pressure after intervention. Based on the results of the study it can be concluded that the hydrotherapi foot bath is effectively used to reduce blood pressure in hypertensive patients in the Banjar Sri Mandala, Dauhwaru Village, Jembrana District.

The Decline of Religious Life in the Twentieth Century

Religions ◽

10.3390/rel12060388 ◽

2021 ◽

Vol 12 (6) ◽

pp. 388

Author(s):

Anton Lingier ◽

Wim Vandewiele

Keyword(s):

Twentieth Century ◽

Significant Influence ◽

Religious Life ◽

The West ◽

Potential Reason ◽

First Category ◽

Cyclical Pattern

The decline in numbers of religious in the West is discussed in numerous studies. While there is a consensus about the statistical reality of decreasing numbers, scholars disagree about the alleged reasons for this decline. This article maps the field and presents a survey of four categories of answers to the question of why religious life declined during the twentieth century. A distinction is made between theories that ascribe the decline to (1) historical, (2) societal, (3) ecclesial, and (4) theological reasons. The first category views the decline as part of a historical-cyclical pattern of growth and decline. The second encompasses explanations that focus on secularization, professionalization, or new societal opportunities for women. Thirdly, post-conciliar church-organizational reasons will be discussed. Finally, pre-conciliar theology is investigated as a potential reason for the decline. While none of the reasons discussed here can be excluded from at least contributing to the decline, we demonstrate that some authors are mistaken in their conclusions due to misinterpreting data in a way that obscures the possibility of an emerging decline before the statistics peak in 1965 (which marks the end of the Council). We also demonstrate how theology has been an underestimated but significant influence on the statistics of religious life.

Induced L-bornological vector spaces and L-Mackey convergence1

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-201599 ◽

2021 ◽

Vol 40 (1) ◽

pp. 1277-1285

Author(s):

Zhen-yu Jin ◽

Cong-hua Yan

Keyword(s):

Complete Lattice ◽

Vector Spaces ◽

Specific Description ◽

Equivalent Characterization ◽

Fuzzy Setting

Motivated by the concept of lattice-bornological vector spaces of J. Paseka, S. Solovyov and M. Stehlík, which extends bornological vector spaces to the fuzzy setting over a complete lattice, this paper continues to study the theory of L-bornological vector spaces. The specific description of L-bornological vector spaces is presented, some properties of Lowen functors between the category of bornological vector spaces and the category of L-bornological vector spaces are discussed. In addition, the notions and some properties of L-Mackey convergence and separation in L-bornological vector spaces are showed. The equivalent characterization of separation in L-bornological vector spaces in terms of L-Mackey convergence is obtained in particular.

Preimages of Residual Sets of Continuous Functions under Operation of Superposition

Georgian Mathematical Journal ◽

10.1515/gmj.2005.763 ◽

2005 ◽

Vol 12 (4) ◽

pp. 763-768

Author(s):

Artur Wachowicz

Keyword(s):

Banach Space ◽

Continuous Functions ◽

Real Functions ◽

Second Category ◽

Residual Sets

Abstract Let 𝐶 = 𝐶[0, 1] denote the Banach space of continuous real functions on [0, 1] with the sup norm and let 𝐶* denote the topological subspace of 𝐶 consisting of functions with values in [0, 1]. We investigate the preimages of residual sets in 𝐶 under the operation of superposition Φ : 𝐶 × 𝐶* → 𝐶, Φ(𝑓, 𝑔) = 𝑓 ○ 𝑔. Their behaviour can be different. We show examples when the preimages of residual sets are nonresidual of second category, or even nowhere dense, and examples when the preimages of nontrivial residual sets are residual.

On Lower and Semi-Lower Density Operators

Georgian Mathematical Journal ◽

10.1515/gmj.2007.661 ◽

2007 ◽

Vol 14 (4) ◽

pp. 661-671

Author(s):

Jacek Hejduk ◽

Anna Loranty

Keyword(s):

Density Operator ◽

Baire Property ◽

Density Operators ◽

Dense Sets ◽

Meager Sets ◽

Algebras Of Sets

Abstract This paper contains some results connected with topologies generated by lower and semi-lower density operators. We show that in some measurable spaces (𝑋, 𝑆, 𝐽) there exists a semi-lower density operator which does not generate a topology. We investigate some properties of nowhere dense sets, meager sets and σ-algebras of sets having the Baire property, associated with the topology generated by a semi-lower density operator.

Classifying model-theoretic properties

Journal of Symbolic Logic ◽

10.2178/jsl/1230396753 ◽

2008 ◽

Vol 73 (3) ◽

pp. 885-905 ◽

Cited By ~ 3

Author(s):

Chris J. Conidis

Keyword(s):

Model Theory ◽

Computability Theory ◽

Prime Model ◽

Decidable Theory ◽

Dense Sets ◽

Equivalent Properties ◽

The Relationship

AbstractIn 2004 Csima, Hirschfeldt, Knight, and Soare [1] showed that a set A ≤T 0′ is nonlow2 if and only if A is prime bounding, i.e., for every complete atomic decidable theory T, there is a prime model computable in A. The authors presented nine seemingly unrelated predicates of a set A, and showed that they are equivalent for sets. Some of these predicates, such as prime bounding, and others involving equivalence structures and abelian p-groups come from model theory, while others involving meeting dense sets in trees and escaping a given function come from pure computability theory.As predicates of A, the original nine properties are equivalent for sets; however, they are not equivalent in general. This article examines the (degree-theoretic) relationship between the nine properties. We show that the nine properties fall into three classes, each of which consists of several equivalent properties. We also investigate the relationship between the three classes, by determining whether or not any of the predicates in one class implies a predicate in another class.

Introducing the First Management Control Systems: Evidence from the Retail Sector

The Accounting Review ◽

10.2308/accr.2007.82.1.265 ◽

2007 ◽

Vol 82 (1) ◽

pp. 265-293 ◽

Cited By ~ 96

Author(s):

Tatiana Sandino

Keyword(s):

Control Systems ◽

Management Control ◽

The Other ◽

Management Control Systems ◽

Retail Sector ◽

First Category ◽

Better Than

Focusing on a sample of U.S. retailers, I study the management control systems (MCS) that firms introduce when they first invest in controls, and identify four categories of initial MCS, which are defined in terms of the purposes these MCS fulfill. The first category, “Basic MCS,” is adopted to collect information for planning, setting standards, and establishing the basic operations of the firm. The other three categories are contingent on more specific purposes: “Cost MCS” focus on enhancing operating efficiencies and minimizing costs; “Revenue MCS” are introduced to foster growth and be responsive to customers; and “Risk MCS” focus on reducing risks and protecting asset integrity. I hypothesize and find that the choice among these categories reflects the firms' strategy, and that firms that choose initial MCS better suited to their strategy perform better than others.