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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Filament sets, aposyndesis, and the decomposition theorem of Jones


Authors: Janusz R. Prajs and Keith Whittington
Journal: Trans. Amer. Math. Soc. 359 (2007), 5991-6000
MSC (2000): Primary 54F15; Secondary 54H15
Published electronically: June 27, 2007
MathSciNet review: 2336313
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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.


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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: http://dx.doi.org/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
Published electronically: 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.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.



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