Publication details

Effective homology for homotopy colimit and cofibrant replacement

Title in English Effective chain complexes for twisted products
Authors

FILAKOVSKÝ Marek

Year of publication 2014
Type Peer-reviewed scientific article
Magazine / Source Arch. Math. (Brno)
MU Faculty or unit

Faculty of Science

Citation
web http://emis.muni.cz/journals/AM/14-5/filakovsky2014.pdf
Doi https://doi.org/10.5817/AM2014-5-273
Field General mathematics
Keywords homotopy colimit; cofibrant replacement; effective homology; equivariant
Description The paper extends the notion of a simplicial set effective homology to diagrams of simplicial sets. It shows that the homotopy colimit and the cofibrant replacement of a diagram with effective homology is a simplicial set with effective homology and a diagram with effective homology, respectively.

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