The terminal hyperspace of homogeneous continua |
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| Authors: | Janusz R Prajs |
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| Institution: | a California State University Sacramento, Department of Mathematics and Statistics, 6000 J Street, Sacramento, CA 95819, USA
b University of Opole, Institute of Mathematics, Ul. Oleska 48, 45-052 Opole, Poland |
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| Abstract: | We investigate the structure of the collection of terminal subcontinua in homogeneous continua. The main result is a reduction of this structure to six specific types. Three of these types are of one-dimensional spaces, and examples representing these types are known. It is not known whether higher dimensional examples having non-trivial terminal subcontinua and representing the three remaining types exist. |
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| Keywords: | primary 54F15 secondary 54F50 |
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