TRNKA, Dominik. Category-colored operads, internal operads, and Markl O-operads. Theory and Applications of Categories. Mount Allison University, 2023, vol. 39, No 30, p. 874-915. ISSN 1201-561X. |
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@article{2342077, author = {Trnka, Dominik}, article_number = {30}, keywords = {Colored operad; Internal operad; Operadic category; Markl operad; Hyperoperad}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {Category-colored operads, internal operads, and Markl O-operads}, url = {http://www.tac.mta.ca/tac/volumes/39/30/39-30abs.html}, volume = {39}, year = {2023} }
TY - JOUR ID - 2342077 AU - Trnka, Dominik PY - 2023 TI - Category-colored operads, internal operads, and Markl O-operads JF - Theory and Applications of Categories VL - 39 IS - 30 SP - 874-915 EP - 874-915 PB - Mount Allison University SN - 1201561X KW - Colored operad KW - Internal operad KW - Operadic category KW - Markl operad KW - Hyperoperad UR - http://www.tac.mta.ca/tac/volumes/39/30/39-30abs.html N2 - We present a Markl-style definition of operads colored by a small category. In the presence of a unit these are equivalent to substitudes of Day and Street. We show that operads colored by a category are internal algebras of a certain categorical operad of functors. We describe a groupoid-colored quadratic binary operad, whose algebras are non-unital Markl operads in the context of operadic categories. As a by-product we describe the free internal operad construction. ER -
TRNKA, Dominik. Category-colored operads, internal operads, and Markl O-operads. \textit{Theory and Applications of Categories}. Mount Allison University, 2023, vol.~39, No~30, p.~874-915. ISSN~1201-561X.
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