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Locally bounded spaces

Published online by Cambridge University Press:  20 January 2009

P. Th. Lambrinos
P. Th. Lambrinos
Affiliation:
University of ThessalonikiGreece
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The three common definitions of local compactness require, respectively, each point to have a compact neighbourhood, a neighbourhood basis consisting of compact sets, or a closed compact neighbourhood. These definitions are equivalent in Hausdorff or in regular spaces but not in general (3, 7).

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 19 , Issue 4 , September 1975 , pp. 321 - 325
Copyright
Copyright © Edinburgh Mathematical Society 1975

References

REFERENCES

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