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On cleavability of continua over LOTS
Author(s):
Raushan
Z.
Buzyakova
Journal:
Proc. Amer. Math. Soc.
132
(2004),
2171-2181.
MSC (2000):
Primary 54F05, 54F15, 54C25
Posted:
February 19, 2004
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Abstract:
It is shown that any continuum cleavable over a LOTS is embeddable into .
References:
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- [Ar1]
- A. V. Arhangelskii, The power of bicompacta with first axiom of countability, Dokl. Akad. Nauk SSSR, 187 (1969), 967-970 (in Russian); English transl., Soviet Math. Dokl. 10 (1969), 951-955. MR 40:4922
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- A. V. Arhangelskii, The general concept of cleavability of a topological space, Topology Appl., 44 (1992), 27-36. MR 93k:54047
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Additional Information:
Raushan
Z.
Buzyakova
Affiliation:
Department of Mathematics, Brooklyn College, Brooklyn, New York 11210
Email:
RaushanB@brooklyn.cuny.edu
DOI:
10.1090/S0002-9939-04-07341-1
PII:
S 0002-9939(04)07341-1
Keywords:
Cleavability,
LOTS,
continuum,
$\tau$-sequences
Received by editor(s):
November 19, 2001
Received by editor(s) in revised form:
April 17, 2003
Posted:
February 19, 2004
Additional Notes:
The author gratefully acknowledges the referee's valuable remarks and suggestions.
Communicated by:
Alan Dow
Copyright of article:
Copyright
2004,
American Mathematical Society
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