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 Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

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
MathSciNet review: 2053992
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Abstract | References | Similar articles | Additional information

Abstract: It is shown that any continuum cleavable over a LOTS $L$ is embeddable into $L$.

References:

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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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