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61.4 Basic topological concepts without intimidation

Published online by Cambridge University Press:  22 September 2016

Leroy F. Meyers
Leroy F. Meyers*
Affiliation:
The Ohio State University, Columbus, Ohio, USA
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Extract

The usual basic topological concepts, as seen by students for the first time in a course such as analysis, often seem unintuitive. The following procedure may be more digestible.

Virtually everyone can recognise a boundary point of a set A in a space X. It is merely a point of X all of whose neighbourhoods contain both a point belonging to A and a point not belonging to A. The boundary bA of A consists of the boundary points of A.

Type
Notes
Information
The Mathematical Gazette , Volume 61 , Issue 415 , March 1977 , pp. 63
Copyright
Copyright © Mathematical Association 1977

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