Results 21 to 30 of about 361 (62)

On star Rothberger spaces modulo an ideal

open access: yesApplied General Topology
In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By creating relationships between a numbers
Susmita Sarkar   +2 more
doaj   +1 more source

On topological structures of fuzzy parametrized soft sets [PDF]

open access: yes, 2014
In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it.
Atmaca, Serkan, Zorlutuna, İdris
core   +5 more sources

Perfect maps in compact (countably compact) spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 4, Page 773-776, 1995., 1993
In this paper, among other results, characterizations of perfect maps in compact Hausdorff(Fréchet, countably compact, Hausdorff) spaces are obtained.
G. L. Garg, Asha Goel
wiley   +1 more source

A connected F-space

open access: yes, 2004
We present an example of a compact connected F-space with a continuous real-valued function f for which the union of the interiors of its fibers is not dense.
Hart, Klaas Pieter
core   +1 more source

Measures of Lindelof and separability in approach spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 597-606, 1994., 1993
In this paper we introduce the notions of separability and Lindelöf in approach spaces and investigate their behaviour under products and subspaces.
R. Baekeland, R. Lowen
wiley   +1 more source

On θ‐regular spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 687-692, 1994., 1994
In this paper we study θ‐regularity and its relations to other topological properties. We show that the concepts of θ‐regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. Regular, strongly locally compact or paracompact spaces are θ‐regular.
Martin M. Kovár
wiley   +1 more source

Valdivia compact Abelian groups

open access: yes, 2007
Let R denote the smallest class of compact spaces containing all metric compacta and closed under limits of continuous inverse sequences of retractions. Class R is striclty larger than the class of Valdivia compact spaces.
Kubiś, Wieslaw
core   +3 more sources

On weaker forms of compactness Lindelöfness and countable compactness

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 55-59, 1990., 1988
A theory of e‐countable compactness and e‐Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed. Amongst other results we show that an e‐countably compact space is pseudocompact, and an example of a space which is pseudocompact but not e‐countably compact with respect to any dense set is ...
D. Baboolal, J. Backhouse, R. G. Ori
wiley   +1 more source

Corrigendum to Taxonomies of Model-theoretically Defined Topological Properties [PDF]

open access: yes, 1991
An error has been found in the cited paper; namely, Theorem 3.1 is ...
Bankston, Paul
core   +1 more source

Means on scattered compacta

open access: yes, 2013
We prove that a separable Hausdorff topological space $X$ containing a cocountable subset homeomorphic to $[0,\omega_1]$ admits no separately continuous mean operation and no diagonally continuous $n$-mean for $n\ge 2$.Comment: 6 ...
Banakh, Taras   +2 more
core   +3 more sources

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