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- W2950714621 abstract "In this paper we study quotients of posets by group actions. In order to define the quotient correctly we enlarge the considered class of categories from posets to loopfree categories: categories without nontrivial automorphisms and inverses. We view group actions as certain functors and define the quotients as colimits of these functors. The advantage of this definition over studying the quotient poset (which in our language is the colimit in the poset category) is that the realization of the quotient loopfree category is more often homeomorphic to the quotient of the realization of the original poset. We give conditions under which the quotient commutes with the nerve functor, as well as conditions which guarantee that the quotient is again a poset." @default.
- W2950714621 created "2019-06-27" @default.
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- W2950714621 date "2003-10-05" @default.
- W2950714621 modified "2023-09-23" @default.
- W2950714621 title "Group Actions on Posets" @default.
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