A consistent σ-compact sequential space which is not hereditarily weakly Whyburn |
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| Authors: | Camillo Costantini |
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| Affiliation: | Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy |
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| Abstract: | We prove that under a=c (in particular, under Martin's Axiom) there exists a regular σ-compact sequential space which is not hereditarily weakly Whyburn. This gives a consistent solution to a question, first formulated by V.V. Tkachuk and I.V. Yashenko, and then raised again by F. Obersnel. |
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| Keywords: | primary, 54A35, 54D55, 54D99 secondary, 54G20, 03E05, 03E50 |
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