Title

Connectedness in Topological Spaces

Publication Year

1962

Keywords

connectedness, topological spaces, topology, intermediate-value theorem

Disciplines

Physical Sciences and Mathematics

Abstract

Connectedness is a concept important in the establishment of a rigorous foundation for Analysis. For this reason it is a topic of major concern in Topology. Connectedness serves as the basis for the Intermediate-value Theorem and is an important condition in Cauchy's Theorem and in all theorems making use of the concept of a line integral.

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