A new cardinal function on topological spaces

Authors

  • Dewi Kartika Sari Nanyang Technological University ; Universitas GadjahMada
  • Dongsheng Zhao Nanyang Technological University

DOI:

https://doi.org/10.4995/agt.2017.5869

Keywords:

Neighbourhood assignments, Gauge compact space, gauge compact index, M-uniformly continuous mapping

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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Author Biographies

Dewi Kartika Sari, Nanyang Technological University ; Universitas GadjahMada

Mathematics and Mathematics Education, National Institute of Education

Dongsheng Zhao, Nanyang Technological University

Mathematics and Mathematics Education, National Institute of Education

References

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Published

2017-04-03

How to Cite

[1]
D. K. Sari and D. Zhao, “A new cardinal function on topological spaces”, Appl. Gen. Topol., vol. 18, no. 1, pp. 75–90, Apr. 2017.

Issue

Section

Regular Articles