Results 11 to 20 of about 52 (51)
Magill‐type theorems for mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 26, Page 1379-1391, 2004., 2004 Magill′s and Rayburn′s theorems on the homeomorphism of Stone‐Čech remainders and some of their generalizations to the remainders of arbitrary Hausdorff compactifications of Tychonoff spaces are extended to some class of mappings.
Giorgio Nordo, Boris A. Pasynkov
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Classification of weak continuities and decomposition of continuity
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 51, Page 2755-2760, 2004., 2004 We first introduce 20 weak forms of continuity, which are closely related to 5 known weak forms of continuity. Then we classify them into 9 groups and give 12 decompositions of continuity.
Jingcheng Tong
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Fuzzy properties in fuzzy convergence spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 12, Page 737-748, 2002., 2002 Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity.
Gunther Jäger
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Local connectivity and maps onto non‐metrizable arcs
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 681-688, 1997., 1996 Three classes of locally connected continua which admit sufficiently many maps onto non‐metric arcs are investigated. It is proved that all continua in those classes are continuous images of arcs and, therefore, have other quite nice properties.
J. Nikiel, L. B. Treybig, H. M. Tuncali
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A note on pseudobounded paratopological groups
Topological Algebra and its Applications, 2014 Let G be a paratopological group. Then G is said to be pseudobounded (resp. ω-pseudobounded) if forevery neighbourhood V of the identity e in G, there exists a natural number n such that G = Vn (resp.we have G = ∪ n∈N Vn).
Lin Fucai, Lin Shou, Sánchez Iván
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Perfect maps in compact (countably compact) spaces
International 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
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International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 3, Page 615-619, 1985., 1985 In this paper we define a topological space X to be θ‐regular if every filterbase in X with a nonempty θ‐adherence has a nonempty adherence. It is shown that the class of θ‐regular topological spaces includes rim‐compact topological spaces and that θ‐regular H(i) (Hausdorff) topological spaces are compact (regular).
Dragan S. Janković
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Between semi-closed and GS-closed sets
, 2009 In this paper, we introduce the concept of strongly generalized semi- closed (= g*s – closed) sets, strongly generalized semi-open (= g*s – open) sets and strongly semi-T1/2-spaces (= st.
Nasef, A.A., El-Maghrabi, A.I.
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A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we prove that an n × n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected. For τ being an affine primal topology, we mean that τ=U⊂Rn:f−1U⊂U, where f:Rn⟶Rn is a map defined by f(x) = Ax + p, with p∈Rn.
Ebner Pineda +3 more
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C̆ech Fuzzy Soft Closure Spaces
, 2018 In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces.
Rasha Naser Majeed
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