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Quotients of peripherally continuous functions

100%
Kosman J.
Open Mathematics
|
2011
|
tom 9
|
nr 4
765-771
EN
We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.
2
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Points of continuity and quasicontinuity

76%
Borsík J.
Open Mathematics
|
2010
|
tom 8
|
nr 1
179-190
EN
Let C(f), Q(f), E(f) and A(f) be the sets of all continuity, quasicontinuity, upper and lower quasicontinuity and cliquishness points of a real function f: X → ℝ, respectively. The triplets (C(f),Q(f),A(f)), (C(f),E(f),A(f) and (Q(f),E(f),A(f)are characterized for functions defined on Baire metric spaces without isolated points.
3
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Equiconnected spaces and Baire classification of separately continuous functions and their analogs

76%
Karlova O., Maslyuchenko V., Mykhaylyuk V.
Open Mathematics
|
2012
|
tom 10
|
nr 3
1042-1053
EN
We investigate the Baire classification of mappings f: X × Y → Z, where X belongs to a wide class of spaces which includes all metrizable spaces, Y is a topological space, Z is an equiconnected space, which are continuous in the first variable. We show that for a dense set in X these mappings are functions of a Baire class α in the second variable.
4
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Semi-quotient mappings and spaces

64%
Khan M. u. D., Noreen R., Siddique Bosan M.
Open Mathematics
|
2016
|
tom 14
|
nr 1
1014-1022
EN
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. It is proved that for some classes of irresolute-topological groups (G, *, τ) the semi-quotient space G/H is regular. Semi-isomorphisms of s-topological groups are also discussed.
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