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CONTINUITY ON GENERALISED TOPOLOGICAL SPACES VIA HEREDITARY CLASSES

Part of: Generalities Maps and general types of spaces defined by maps

Published online by Cambridge University Press:  21 February 2018

P. MONTAGANTIRUD Open the ORCID record for P. MONTAGANTIRUD [Opens in a new window]  and
W. THAIKUA
P. MONTAGANTIRUD*
Affiliation:
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand email [email protected]
W. THAIKUA
Affiliation:
Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand email [email protected]
*
✉[email protected]
Rights & Permissions [Opens in a new window]

Abstract

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A generalised topology is a collection of subsets of a given nonempty set containing the empty set and arbitrary unions of the elements in the collection. By using the concept of hereditary classes, a generalised topology can be extended to a new one, called a generalised topology via a hereditary class. We study continuity on generalised topological spaces via hereditary classes in various situations.

Keywords

generalised topological spaces(𝜇, 𝜈)-continuous functionshereditary classes

MSC classification

Primary: 54A05: Topological spaces and generalizations (closure spaces, etc.)
Secondary: 54C05: Continuous maps 54C08: Weak and generalized continuity
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 97 , Issue 2 , April 2018 , pp. 320 - 330
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

References

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