Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 307)
We say that a set E is a topological space if we have in it the notion of open sets, a class of subsets of E satisfying the following conditions:
The intersection of a finite number of open sets is an open set.
The union of any number of open sets is an open set.
KeywordsTopological Space Compact Space Open Cover Smooth Manifold Local Coordinate System
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
© Springer-Verlag Berlin Heidelberg 1993