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Nóra Szakács: Inverse monoids and immersions of 2-complexes (in Hungarian)

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Wednesday, 5. March 2014, 10:00 - 12:00
Abstract. It is well known that under mild conditions on a connected topological space X, connected covers of X may be classified via conjugacy classes of subgroups of the fundamental group of X. In this talk, we extend these results to the study of immersions into 2-dimensional CW-complexes. An immersion f : D --> C between CW-complexes is a cellular map such that each point y of D has a neighborhood U that is mapped homeomorphically onto f(U) by f. In order to classify immersions into a 2-dimensional CW-complex C, we need to replace the fundamental group of C by an appropriate inverse monoid. We show how conjugacy classes of the closed inverse submonoids of this inverse monoid may be used to classify connected immersions into the complex.
Location : Bolyai Intézet, I. Kórház, fszt. 17., folyóirat-olvasó terem

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