Homotopy- and Cohomology Groups of Kan Complexes
Algebraic Topology
2016-08-02 v1
Abstract
This article shows several new methods for proofs on Kan complexes while using them to give a compact introduction to the homotopy groups of these complexes. Then more advanced objects are studied starting with homology and the Hurewicz homomorphism. Eilenberg-Mac Lane-spaces are constructed explicitly and can then be used to define spectral cohomology. In the end the equivalence to the usual simplicial cohomology is shown.
Keywords
Cite
@article{arxiv.1608.00483,
title = {Homotopy- and Cohomology Groups of Kan Complexes},
author = {Jan Steinebrunner},
journal= {arXiv preprint arXiv:1608.00483},
year = {2016}
}
Comments
23 pages, 3 figures