Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-14T07:26:40.180Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)