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Semi-terminal continua in Kelley spaces


Author: Janusz R. Prajs
Journal: Trans. Amer. Math. Soc. 363 (2011), 2803-2820
MSC (2000): Primary 54F15; Secondary 54F50
Published electronically: January 20, 2011
MathSciNet review: 2775787
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Abstract: A continuum $ K$ in a space $ X$ is said to be semi-terminal if at least one out of every two disjoint continua in $ X$ intersecting $ K$ is contained in $ K$. Based on this concept, new structural results on Kelley continua are obtained. In particular, two decomposition theorems for Kelley continua are presented. One of these theorems is an improved version of the aposyndetic decomposition theorem for Kelley continua.


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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

DOI: http://dx.doi.org/10.1090/S0002-9947-2011-04917-2
Keywords: Ample, continuum, filament, homogeneous, semi-indecomposable, semi-terminal
Received by editor(s): March 7, 2008
Published electronically: January 20, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.