On cleavability of continua over LOTS

Author:
Raushan Z. Buzyakova

Translated by:

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2171-2181

MSC (2000):
Primary 54F05, 54F15, 54C25

DOI:
https://doi.org/10.1090/S0002-9939-04-07341-1

Published electronically:
February 19, 2004

MathSciNet review:
2053992

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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

**[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****[Ar2]**A. V. Arhangelskii,*The general concept of cleavability of a topological space*, Topology Appl., 44 (1992), 27-36. MR**93k:54047****[Ar3]**A. V. Arhangelskii,*Cleavability over reals*, Topology Appl., 48 (1992), 163-178. MR**94a:54041****[Ar4]**A. V. Arhangelskii,*On cleavability of topological spaces over**, and*, Ann. New York Acad. Sci., 659 (1992), 18-28. MR**98g:54008****[Ar5]**A. V. Arhangelskii,*A survey of cleavability*, Topology Appl., 54 (1993), 141-163. MR**95c:54015****[Ar6]**A. V. Arhangelskii,*Some recent achievements and open problems in general topology*, Russian Math. Surveys, 52:5(1997), 929-953. MR**99b:54001****[Bal]**Z. Balogh,*There is a paracompact Q-set space in ZFC*, Proc. Amer. Math. Soc., 126:6 (1998), 1827-1833. MR**98g:54084****[Bu]**R. Z. Buzyakova,*Splittability of compacta over linearly ordered spaces and over the class of all linearly ordered spaces*, Moscow Univ. Math. Bull., 51:3 (1996), 44-45. MR**98b:54044****[Tka]**V. V. Tkachuk,*A note on splittable spaces*, Comment. Math. Univ. Carolinae, 33(1992), 551-555. MR**94a:54071****[Yas]**I. V. Yashchenko,*Embeddings into**and**and cleavability*, Moscow Univ. Math. Bull., 47:2(1992).**[Eng]**R. Engelking,*General Topology*, Sigma Series in Pure Mathematics, 6, Heldermann, Berlin, revised ed., 1989. MR**91c:54001**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC (2000):
54F05,
54F15,
54C25

Retrieve articles in all journals with MSC (2000): 54F05, 54F15, 54C25

Additional Information

**Raushan Z. Buzyakova**

Affiliation:
Department of Mathematics, Brooklyn College, Brooklyn, New York 11210

Email:
RaushanB@brooklyn.cuny.edu

DOI:
https://doi.org/10.1090/S0002-9939-04-07341-1

Keywords:
Cleavability,
LOTS,
continuum,
$\tau$-sequences

Received by editor(s):
November 19, 2001

Received by editor(s) in revised form:
April 17, 2003

Published electronically:
February 19, 2004

Additional Notes:
The author gratefully acknowledges the referee’s valuable remarks and suggestions.

Communicated by:
Alan Dow

Article copyright:
© Copyright 2004
American Mathematical Society