Filament sets, aposyndesis, and the decomposition theorem of Jones
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- by Janusz R. Prajs and Keith Whittington PDF
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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.References
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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
- 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.
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 5991-6000
- MSC (2000): Primary 54F15; Secondary 54H15
- DOI: https://doi.org/10.1090/S0002-9947-07-04160-8
- MathSciNet review: 2336313