Applications of cluster sets in minimal topological spaces

Author:
T. R. Hamlett

Journal:
Proc. Amer. Math. Soc. **53** (1975), 477-480

MSC:
Primary 54D25; Secondary 54C10

MathSciNet review:
0388342

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Abstract | References | Similar Articles | Additional Information

Abstract: Given a function from a topological space into a topological space and a point , *the cluster set of* *at* is , where denotes the closure of . In this paper, is taken to be a minimal topological space and is used as a tool to obtain information about the continuity of .

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1975-0388342-5

Keywords:
Almost continuous,
cluster set,
-closed,
minimal Hausdorff,
minimal regular,
open filterbase,
regular closed

Article copyright:
© Copyright 1975
American Mathematical Society