Induced maps between intersection spaces

This thesis is concerned with spatial homology truncation for path connected CW-complexes and the following question: Which continuous maps between two compact pseudomanifolds with isolated singularities induce continuous maps between the corresponding intersection spaces, and when is this assignment functorial? Chapter 1 deals with the construction of a spatial homology truncation functor for path connected CW-complexes, which extends existing results for simply connected CW-complexes. In Chapter 2 we partially use the results of the first chapter to present different approaches to the problem of inducing maps between intersection spaces. Finally, the induced maps between reduced homology groups of intersection spaces and the induced maps between intersection homology groups will be assembled in a morphism of reflective diagrams.

Level thesis:degree_level

master

Grantor dc:publisher

Universität Heidelberg

Year

2013

Author dc:creator

• Wrazidlo, Dominik

Contributors dc:contributor

• Banagl, Markus

Repository record source_url

http://www.ub.uni-heidelberg.de/archiv/23270

OAI identifier oai:identifier

oai:archiv.ub.uni-heidelberg.de:23270