A new cardinal function on topological spaces

A new cardinal function on topological spaces

Using neighbourhood assignments, we introduce and study a new cardinal function, namely GCI(X), for every topological space X. We shall mainly investigate the spaces X with finite GCI(X). Some properties of this cardinal in connection with special types of mappings are also proved.

Bibliographic Details
Main Authors: Dewi Kartika Sari, Dongsheng Zhao
Format: Article
Language:English
Published: Universitat Politècnica de València 2017-04-01
Series:Applied General Topology
Subjects:
Neighbourhood assignments
Gauge compact space
gauge compact index
M-uniformly continuous mapping
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/5869
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spelling doaj-7e64c452555b4fad8a88cabc275386f62020-11-24T23:15:41ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472017-04-01181759010.4995/agt.2017.58695212A new cardinal function on topological spacesDewi Kartika Sari0Dongsheng Zhao1Nanyang Technological UniversityNanyang Technological UniversityUsing neighbourhood assignments, we introduce and study a new cardinal function, namely GCI(X), for every topological space X. We shall mainly investigate the spaces X with finite GCI(X). Some properties of this cardinal in connection with special types of mappings are also proved.http://polipapers.upv.es/index.php/AGT/article/view/5869Neighbourhood assignmentsGauge compact spacegauge compact indexM-uniformly continuous mapping
collection DOAJ
language English
format Article
sources DOAJ
author Dewi Kartika Sari
Dongsheng Zhao
spellingShingle Dewi Kartika Sari
Dongsheng Zhao
A new cardinal function on topological spaces
Applied General Topology
Neighbourhood assignments
Gauge compact space
gauge compact index
M-uniformly continuous mapping
author_facet Dewi Kartika Sari
Dongsheng Zhao
author_sort Dewi Kartika Sari
title A new cardinal function on topological spaces
title_short A new cardinal function on topological spaces
title_full A new cardinal function on topological spaces
title_fullStr A new cardinal function on topological spaces
title_full_unstemmed A new cardinal function on topological spaces
title_sort new cardinal function on topological spaces
publisher Universitat Politècnica de València
series Applied General Topology
issn 1576-9402
1989-4147
publishDate 2017-04-01
description Using neighbourhood assignments, we introduce and study a new cardinal function, namely GCI(X), for every topological space X. We shall mainly investigate the spaces X with finite GCI(X). Some properties of this cardinal in connection with special types of mappings are also proved.
topic Neighbourhood assignments
Gauge compact space
gauge compact index
M-uniformly continuous mapping
url http://polipapers.upv.es/index.php/AGT/article/view/5869
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AT dongshengzhao anewcardinalfunctionontopologicalspaces
AT dewikartikasari newcardinalfunctionontopologicalspaces
AT dongshengzhao newcardinalfunctionontopologicalspaces
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