on cofree s-spaces and cofree s-flows
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ID: 185920
2012
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Abstract
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with the compact-open topology and the action s · f = (t → f(st)) is the cofree S-space over X if and only if the compact-open topology is admissible and Tychonoff. Finally we study injective S-spaces and we characterize injective cofree S-spaces, when the compact-open topology is admissible and Tychonoff. As a consequence of this result, we characterize the cofree S-spaces and cofree S-flows, when S is a locally compact topological monoid.
| Reference Key |
khosravi2012appliedon
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|---|---|
| Authors | ;Behnam Khosravi |
| Journal | Health and quality of life outcomes |
| Year | 2012 |
| DOI |
10.4995/agt.2012.1632
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| URL | |
| Keywords | Keywords not found |
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