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Presentation Information     2008-02-11 (15:15)   •  The seminar room at Vi2

Speaker Erik Melin
Comment Department of Mathematics
Type External presentation
Title Khalimsky manifolds
Abstract What is a Khalimsky manifold? The answer is not so obvious. We would like to call a topological space that is locally homeomorphic to Khalimsky n-space a Khalimsky n-manifold. We shall discuss several possible definitions and their consequences. If the requirements are too relaxed, then very strange spaces are allowed as manifolds. On the other hand, if the requirements are to strict then important spaces are excluded. As an example, we show that a seemingly natural attempt to define Khalimsky manifolds results in the non-existence of a Khalimsky sphere.