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Title: | Cancellation of 3-Point Topological Spaces | Authors: | Carter, Sheila Craveiro de Carvalho, Francisco |
Keywords: | Homeomorphism; Cancellation problem; 3-point spaces | Issue Date: | 2008 | Publisher: | Universidad Politecnica de Valencia | Project: | FCT | Serial title, monograph or event: | Applied General Topology | Volume: | 9 | Issue: | 1 | Abstract: | The cancellation problem, which goes back to S. Ulam [2], is formulated as follows: Given topological spaces X, Y,Z, under what circumstances does X × Z Y × Z ( meaning homeomorphic to) imply X Y ? In [1] it is proved that, for T0 topological spaces and denoting by S the Sierpinski space, if X × S Y × S then X Y . This note concerns all nine (up to homeomorphism) 3-point spaces, which are given in [4]. | URI: | https://hdl.handle.net/10316/110442 | ISSN: | 1989-4147 1576-9402 |
DOI: | 10.4995/agt.2008.1864 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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Cancellation-of-3point-topological-spacesApplied-General-Topology.pdf | 118.6 kB | Adobe PDF | View/Open |
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