Zobrazeno 1 - 3
of 3
pro vyhledávání: '"P. R. García–Díaz"'
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 142:439-457
We establish Whitehead and Ganea characterizations for proper LS-category. We use the embedding of the proper category into the exterior category, and construct in the latter a suitable closed model structure of Strøm type. Then, from the axiomatic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9d68ec0193a61398d222fa40f3a29d1
https://doi.org/10.1017/s0305004106009960
https://doi.org/10.1017/s0305004106009960
Publikováno v:
Open Mathematics, Vol 4, Iss 3, Pp 376-394 (2006)
Taking cylinder objects, as defined in a model category, we consider a cylinder construction in a cofibration category, which provides a reformulation of relative homotopy in the sense of Baues. Although this cylinder is not a functor we show that it
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ffacd95f6ea7c1b40392016f74530c13
https://doi.org/10.2478/s11533-006-0021-x
https://doi.org/10.2478/s11533-006-0021-x
Publikováno v:
Bull. Belg. Math. Soc. Simon Stevin 19, no. 3 (2012), 485-506
Scopus-Elsevier
Scopus-Elsevier
We study, in an abstract axiomatic setting, the notion of sectional category of a morphism. From this, we unify and generalize known results about this invariant in different settings as well as we deduce new applications.
24 pages
24 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0b1ee92b0edb42c7bdcacf23667e7a40
http://projecteuclid.org/euclid.bbms/1347642378
http://projecteuclid.org/euclid.bbms/1347642378
