A Role of Connected Sets In Mathematics

Properties and Characterization of Connected Sets in Mathematics

Authors

  • Rekha Rani Author

Keywords:

connected set, partitioned, nonempty subsets, open, relative topology, points in common, set closure

Abstract

A connected set is a set that cannot be partitioned intotwo nonempty subsets which are open in the relative topology induced on theset. Equivalently, it is a setwhich cannot be partitioned into two nonempty subsets such that each subset has no points incommon with the setclosure of the other.

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Published

2013-05-01