Countable compactness in generalized L-topological spaces

DOI

10.2991/isci-15.2015.217How to use a DOI?

Keywords

generalized L-topology; generalized countable L-compactness;generalized Lindelöf set

Abstract

In this paper, the generalized countable L-compact sets and generalized Lindelöf sets are introduced in generalized L-topological spaces, based on the notion of generalized L-compactness. They are described by cover form and finite intersection property. They are preserved under generalized L-continuous mapping, inherited for L-closed subsets, and finitely additive. And an L-subset is generalized L-compact if and only if it is generalized Lindelöf and generalized countably L-compact.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Shi-Zhong Bai
AU  - Yi Shi
PY  - 2015/01
DA  - 2015/01
TI  - Countable compactness in generalized L-topological spaces
BT  - Proceedings of the 2015 International Symposium on Computers & Informatics
PB  - Atlantis Press
SP  - 1623
EP  - 1630
SN  - 2352-538X
UR  - https://doi.org/10.2991/isci-15.2015.217
DO  - 10.2991/isci-15.2015.217
ID  - Bai2015/01
ER  -