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@article{1299726, author = {Raptis, G. and Rosický, Jiří}, article_location = {Halifax}, article_number = {1}, keywords = {model category; weak equivalence; accessible category}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {The accessibility rank of weak equivalences}, url = {http://www.tac.mta.ca/tac/volumes/30/19/30-19.pdf}, volume = {30}, year = {2015} }
TY - JOUR ID - 1299726 AU - Raptis, G. - Rosický, Jiří PY - 2015 TI - The accessibility rank of weak equivalences JF - Theory and Applications of Categories VL - 30 IS - 1 SP - 687-703 EP - 687-703 SN - 1201561X KW - model category KW - weak equivalence KW - accessible category UR - http://www.tac.mta.ca/tac/volumes/30/19/30-19.pdf N2 - We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the class of weak equivalences between simplicial sets is finitely accessible. ER -
RAPTIS, G. a Jiří ROSICKÝ. The accessibility rank of weak equivalences. \textit{Theory and Applications of Categories}. Halifax, roč.~30, č.~1, s.~687-703. ISSN~1201-561X. 2015.
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