A new cardinal function on topological spaces
Submitted: 2016-06-03
|Accepted: 2016-10-18
|Published: 2017-04-03
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Keywords:
Neighbourhood assignments, Gauge compact space, gauge compact index, M-uniformly continuous mapping
Supporting agencies:
Ho Weng Kin
MME
NIE-NTU
Lee Peng Yee
LPDP
Ministry of Finance of Republic Indonesia
Abstract:
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.
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