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Homology Theory from the Geometric Viewpoint
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2011 (English)MasteroppgaveStudent thesis
Abstract [en]

Given a multiplicative cohomology theory represented by a spectrum, E, we define its associated geometric homology theory by means of bordism. Restricted to CW pairs, we show how the geometric homology theory is naturally equivalent to the homology theory associated E. This was done by M. Jakob in 2000, and we give an exposition following his approach. We also consider a naturally occurring cap product.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2011. , 78 p.
Keyword [no]
ntnudaim:5841, MMA matematikk, Topologi
URN: urn:nbn:no:ntnu:diva-15695Local ID: ntnudaim:5841OAI: diva2:505188
Available from: 2012-02-23 Created: 2012-02-23

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