From countable compactness to absolute countable compactness

Authors:
Mary Ellen Rudin, Ian S. Stares and Jerry E. Vaughan

Journal:
Proc. Amer. Math. Soc. **125** (1997), 927-934

MSC (1991):
Primary 54D20; Secondary 54A35

MathSciNet review:
1415367

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Abstract | References | Similar Articles | Additional Information

Abstract: We show that every countably compact space which is monotonically normal, almost 2-fully normal, radial , or with countable spread is absolutely countably compact. For the first two mentioned properties, we prove more general results not requiring countable compactness. We also prove that every monotonically normal, orthocompact space is finitely fully normal.

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Additional Information

**Mary Ellen Rudin**

Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706

Email:
mrudin@math.wisc.edu

**Ian S. Stares**

Affiliation:
Department of Mathematical Sciences University of North Carolina at Greensboro Greensboro, North Carolina 27412

Email:
isstares@maths.ox.ac.uk

**Jerry E. Vaughan**

Email:
vaughanj@steffi.uncg.edu

DOI:
http://dx.doi.org/10.1090/S0002-9939-97-04030-6

Keywords:
Countably compact,
absolutely countably compact,
monotonically normal,
property (a),
finitely fully normal,
almost 2-fully normal,
radial,
orthocompact,
countable spread

Received by editor(s):
September 10, 1995

Communicated by:
Franklin D. Tall

Article copyright:
© Copyright 1997
American Mathematical Society