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@article{2411797, author = {Štěpán, Miloslav}, article_number = {18}, keywords = {factorization system; double category; lax morphism}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {Factorization systems and double categories}, url = {http://www.tac.mta.ca/tac/volumes/41/18/41-18abs.html}, volume = {41}, year = {2024} }
TY - JOUR ID - 2411797 AU - Štěpán, Miloslav PY - 2024 TI - Factorization systems and double categories JF - Theory and Applications of Categories VL - 41 IS - 18 SP - 551-592 EP - 551-592 PB - Mount Allison University SN - 1201561X KW - factorization system KW - double category KW - lax morphism UR - http://www.tac.mta.ca/tac/volumes/41/18/41-18abs.html N2 - We show that factorization systems, both strict and orthogonal, can be equivalently described as double categories satisfying certain properties. This provides conceptual reasons for why the category of sets and partial maps or the category of small categories and cofunctors admit orthogonal factorization systems. The theory also gives an explicit description of various lax morphism classifiers and explains why they admit strict factorization systems. ER -
ŠTĚPÁN, Miloslav. Factorization systems and double categories. \textit{Theory and Applications of Categories}. Mount Allison University, 2024, vol.~41, No~18, p.~551-592, 43 pp. ISSN~1201-561X.
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