181974
20190416055812.0
1512-0139
ISI
000306939500005
doi
10.4310/HHA.2012.v14.n1.a5
ARTICLE
Normal and conormal maps in homotopy theory
2012
Somerville
Int Press Boston, Inc
2012
34
Journal Articles
Let M be a monoidal category endowed with a distinguished class of weak equivalences and with appropriately compatible classifying bundles for monoids and comonoids. We define and study homotopy-invariant notions of normality for maps of monoids and of conormality for maps of comonoids inM. These notions generalize both principal bundles and crossed modules and are preserved by nice enough monoidal functors, such as the normalized chain complex functor. We provide several explicit classes of examples of homotopynormal and of homotopy-conormal maps, when M is the category of simplicial sets or the category of chain complexes over a commutative ring.
Normal map, monoidal category, homotopical category, twisting structure
Farjoun, Emmanuel D.
240499
Hess, Kathryn
105396
14
1
79-112
Homology, Homotopy and Applications
397450
http://infoscience.epfl.ch/record/181974/files/v14n1a05.pdf
n/a
n/a
252139
UPHESS
U10968
oai:infoscience.tind.io:181974
SV
article
GLOBAL_SET
105396
EPFL-ARTICLE-181974
EPFL
REVIEWED
PUBLISHED
ARTICLE