Equicontinuity and indivisibility in transformation groups
Author:
Ping-fun Lam
Journal:
Trans. Amer. Math. Soc. 174 (1972), 399-424
MSC:
Primary 54H20
DOI:
https://doi.org/10.1090/S0002-9947-1972-0309090-5
MathSciNet review:
0309090
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Abstract | References | Similar Articles | Additional Information
Abstract: A notion called indivisibility for transformation groups is studied in some detail. The proofs of some theorems announced in [10] are given. Certain types of nonequicontinuous sets which do not disconnect their metric continuum phase spaces and which were not known to exist previously are exhibited.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1972-0309090-5
Keywords:
Equicontinuity,
upper semicontinuous function,
co-meager set,
minimal set,
one-point compactification,
scattered set,
semicontinuum,
zero-dimensional set,
Peano curve
Article copyright:
© Copyright 1972
American Mathematical Society