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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Filament sets, aposyndesis, and the decomposition theorem of Jones
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by Janusz R. Prajs and Keith Whittington PDF
Trans. Amer. Math. Soc. 359 (2007), 5991-6000 Request permission

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