Connectedness

Lynn Arthur Steen and J. Arthur Seebach
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Lynn Arthur Steen: Saint Olaf College
J. Arthur Seebach: Saint Olaf College

Chapter Section 4 in Counterexamples in Topology, 1978, pp 28-33 from Springer

Abstract: Abstract Connectedness denies the existence of certain subsets of a topological space with the property that Ū ∩ V = ∅ and U ∩ $$ {\bar V} $$ = ∅. Any two such subsets are said to be separated in the space. Although this concept is logically related to the separation axioms, it examines the structure of topological spaces from the opposite point of view.

Date: 1978
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DOI: 10.1007/978-1-4612-6290-9_4

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