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R -continuous functions.

Konstadilaki-Savvopoulou, Ch., Janković, D. (1992)

International Journal of Mathematics and Mathematical Sciences

R z -supercontinuous functions

Davinder Singh, Brij Kishore Tyagi, Jeetendra Aggarwal, Jogendra K. Kohli (2015)

Mathematica Bohemica

A new class of functions called “ R z -supercontinuous functions” is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity that already exist in the literature is elaborated. The class of R z -supercontinuous functions properly includes the class of R cl -supercontinuous functions, Tyagi, Kohli, Singh (2013), which in its turn contains the class of cl -supercontinuous ( ≡ clopen continuous) functions, Singh (2007), Reilly, Vamanamurthy (1983), and is...

Remarks on sequence-covering maps

Luong Quoc Tuyen (2012)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we prove that each sequence-covering and boundary-compact map on g -metrizable spaces is 1-sequence-covering. Then, we give some relationships between sequence-covering maps and 1-sequence-covering maps or weak-open maps, and give an affirmative answer to the problem posed by F.C. Lin and S. Lin in [Lin.F.C.and.Lin.S-2011].

Remarks on strongly star-Menger spaces

Yan-Kui Song (2013)

Commentationes Mathematicae Universitatis Carolinae

A space X is strongly star-Menger if for each sequence ( 𝒰 n : n ∈ ℕ ) of open covers of X , there exists a sequence ( K n : n ∈ N ) of finite subsets of X such that { S t ( K n , 𝒰 n ) : n ∈ ℕ } is an open cover of X . In this paper, we investigate the relationship between strongly star-Menger spaces and related spaces, and also study topological properties of strongly star-Menger spaces.

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