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Filament sets, aposyndesis, and the decomposition theorem of Jones
Author(s):
Janusz
R.
Prajs;
Keith
Whittington
Journal:
Trans. Amer. Math. Soc.
359
(2007),
5991-6000.
MSC (2000):
Primary 54F15;
Secondary 54H15
Posted:
June 27, 2007
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Additional information
Abstract:
Applications of the work introduced by the authors in a recent article, Filament sets and homogeneous continua, are given to aposyndesis and local connectedness. The aposyndetic decomposition theorem of Jones is generalized to spaces with the property of Kelley.
References:
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- 8.
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Additional Information:
Janusz
R.
Prajs
Affiliation:
Department of Mathematics and Statistics, California State University Sacramento, 6000 J Street, Sacramento, California 95819 -- and -- Institute of Mathematics, University of Opole, Ul. Oleska 48, 45-052 Opole, Poland
Email:
prajs@csus.edu
Keith
Whittington
Affiliation:
Department of Mathematics, University of the Pacific, Stockton, California 95211
Email:
kwhittin@pacific.edu
DOI:
10.1090/S0002-9947-07-04160-8
PII:
S 0002-9947(07)04160-8
Keywords:
Aposyndesis,
aposyndetic,
continuum,
decomposition,
Jones,
Kelley,
locally connected
Received by editor(s):
June 3, 2005
Received by editor(s) in revised form:
August 31, 2005
Posted:
June 27, 2007
Additional Notes:
The first author was supported by the National Science Foundation grant DMS-0405374 and by the RCA assigned time award 2004/05 at California State University Sacramento.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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