On the Baire’s Category Theorem as an Important Tool in General Topology and Functional Analysis

Authors

  • Amos Otieno Wanjara

DOI:

https://doi.org/10.65000/5d937r23

Keywords:

Category; Interior of asset; empty interior; Baire space; open mapping; locally compact Hausdorff space; Metric space

Abstract

The problems connected with Topological spaces, Metric spaces, Banach spaces, Boundedness and continuous mappings lie at the heart of Baire’s Category theorem. In this paper, we give a short survey on some classical results due to the Baire’s Category theorem in the field of general Topology and Functional analysis. 

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Published

25-12-2019

Issue

Vol. 2 No. 12 (2019)

Section

Articles

License

Copyright (c) 2019 Amos Otieno Wanjara

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Wanjara, A. O. (2019). On the Baire’s Category Theorem as an Important Tool in General Topology and Functional Analysis. International Journal of Modern Computation, Information and Communication Technology, 2(12), 71-74. https://doi.org/10.65000/5d937r23