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https://hdl.handle.net/10316/11441
Title: | Locally Sierpinski quotients | Authors: | Carter, Sheila Carvalho, F. J. Craveiro de |
Issue Date: | 2003 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 03-04 (2003) | Abstract: | Given any non-trivial, connected topological space X, it is possible to de ne an equivalence relation ~ on it such that the topological quotient space X/ ~ is the Sierpinski space. Locally Sierpinski spaces are generalizations of the Sierpinski space and here we address the following question. Does a statement like the one above hold if Sierpinski is replaced by (proper) locally Sierpinski? The answer is no and we will give below a few counterexamples. The situation where a homeomorphism group acts on a topological n-manifold will also be analysed, the conclusion being that the cases n = 1; n > 1 are radically di erent | URI: | https://hdl.handle.net/10316/11441 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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Locally Sierpinski quotients.pdf | 100.3 kB | Adobe PDF | View/Open |
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