Topological Spaces

  • Albert S. Schwarz
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 307)

Abstract

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:
  1. 1.

    The intersection of a finite number of open sets is an open set.

     
  2. 2.

    The union of any number of open sets is an open set.

     

Keywords

Manifold 

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Albert S. Schwarz
    • 1
  1. 1.Department of Mathematics, 565 Kerr HallUniversity of CaliforniaDavisUSA

Personalised recommendations