Results 31 to 40 of about 70 (66)
Contra‐continuous functions and strongly S‐closed spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 303-310, 1996., 1996 In 1989 Ganster and Reilly [6] introduced and studied the notion of LC‐continuous functions via the concept of locally closed sets. In this paper we consider a stronger form of LC‐continuity called contra‐continuity. We call a function f : (X, τ) → (Y, σ) contra‐continuous if the preimage of every open set is closed. A space (X, τ) is called strongly S‐
J. Dontchev
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Semi-quotient mappings and spaces
Open Mathematics, 2016 In this paper, we continue the study of s-topological and irresolute-topological groups. We define semi-quotient mappings which are stronger than semi-continuous mappings, and then consider semi-quotient spaces and groups.
Khan Moiz ud Din +2 more
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On the theorems of Y. Mibu and G. Debs on separate continuity
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 3, Page 495-500, 1996., 1995 Using a game‐theoretic characterization of Baire spaces, conditions upon the domain and the range are given to ensure a fat set C(f) of points of continuity in the sets of type X × {y}, y ∈ Y for certain almost separately continuous functions f : X × Y → Z. These results (especially Theorem B) generalize Mibu′s.
Zbigniew Piotrowski
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Fibrewise Near Compact and Locally Near Compact Spaces [PDF]
, 2013 In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near compact and fibrewise locally near compact spaces, which are generalizations of well-known concepts near compact and locally near compact ...
Yousif, Y. Y. +2 more
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New Continuity Concepts With Usual, Semi, and Semi‐ω‐Closure Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce new forms of continuity, namely, weakly θs‐continuity, weakly θsω‐continuity, almost θs‐continuity, and almost θsω‐continuity defined via closure operators. These concepts bridge the gap between classical and weak continuity and provide new insights into their relationships.
Kushal Singh, Asha Gupta, Pramita Mishra
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A note on weakly quasi continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 767-772, 1996., 1995 The notion of weakly quasi continuous functions introduced by Popa and Stan [1]. In this paper, the authors obtain the further properties of such functions and introduce weak* quasi continuity which is weaker than semi continuity [2] but independent ofweak quasi continuity.
Jin Han Park, Hoe Young Ha
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Diagonals of separately continuous maps with values in box products
Topological Algebra and its Applications, 2018 We prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such
Karlova Olena, Mykhaylyuk Volodymyr
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Note on limits of simply continuous and cliquish functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 447-450, 1994., 1993 The main result of this paper is that any function f defined on a perfect Baire space (X, T) with values in a separable metric space Y is cliquish (has the Baire property) iff it is a uniform (pointwise) limit of sequence {fn : n ≥ 1} of simply continuous functions. This result is obtained by a change of a topology on X and showing that a function f : (
Janina Ewert
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Separating sets by bilaterally quasi-continuous functions
, 2021 In this paper we characterize the pairs (A0;A1) and (A-, A+) of disjoint sets which can be separated by a bilaterally quasi-continuous function. Moreover, we characterize when two arbitrary subsets of the real line can be separated by bilaterally dense ...
Syzsykowska, Paulina
core
Weak C-embedding and P -embedding, and product spaces [PDF]
, 2002 Arhangel'skiȋ defines in [Topology Appl. 70 (1996) [Topology Appl. 93 (1999) 121-129]. Moreover, suggested by weak C-embedding, we define a notion of weak Pembedding, more precisely, weak P γ -embedding for an infinite cardinal γ , which is an ...
Kaori Yamazaki, Takao Hoshina
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