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Connected expansions of topologies

Published online by Cambridge University Press:  17 April 2009

J.A. Guthrie ,
D.F. Reynolds  and
H.E. Stone
J.A. Guthrie
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA;
D.F. Reynolds
Affiliation:
Department of Mathematics, West Virginia University, Morgantown. West Virginia, USA;
H.E. Stone
Affiliation:
Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA.
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Abstract

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This note presents a characterization of connected simple expansions of topologies in terms of conditions on subspaces, and gives corollaries improving and unifying known sufficient conditions. These results are applied to obtain information about maximally connected spaces, and it is shown that maximal connectedness is inherited by connected subspaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 9 , Issue 2 , October 1973 , pp. 259 - 265
Copyright
Copyright © Australian Mathematical Society 1973

References

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