


Inverse monoids and immersions of cell complexes



Description: 
In the talk, we study immersions between cell complexes using inverse monoids. By an immersion f : D > C between cell complexes, we mean a continous map which is a local homeomorphism onto its image, and we further suppose that commutes with the characteristic maps of the cell complexes. We describe immersions between finitedimensional connected Deltacomplexes by replacing the fundamental group of the base space 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. This extends earlier results of Margolis and Meakin for immersions between graphs and of Meakin and Szakacs on immersions into 2dimensional CWcomplexes.

Date: 
20171017

Start Time: 
15:00 
Speaker: 
Nora Szakács (CMUP, Univ. Porto)

Institution: 
CMUP, Univ. Porto

Place: 
Room 5.5

Research Groups: 
Algebra, Logic and Topology

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