Matches in SemOpenAlex for { <https://semopenalex.org/work/W1990738469> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1990738469 endingPage "436" @default.
- W1990738469 startingPage "397" @default.
- W1990738469 abstract "Given any model category, or more generally any category with weak equivalences, its simplicial localization is a simplicial category which can rightfully be called the “homotopy theory” of the model category. There is a model category structure on the category of simplicial categories, so taking its simplicial localization yields a “homotopy theory of homotopy theories”. In this paper we show that there are two different categories of diagrams of simplicial sets, each equipped with an appropriate definition of weak equivalence, such that the resulting homotopy theories are each equivalent to the homotopy theory arising from the model category structure on simplicial categories. Thus, any of these three categories with the respective weak equivalences could be considered a model for the homotopy theory of homotopy theories. One of them in particular, Rezk’s complete Segal space model category structure on the category of simplicial spaces, is much more convenient from the perspective of making calculations and therefore obtaining information about a given homotopy theory." @default.
- W1990738469 created "2016-06-24" @default.
- W1990738469 creator A5079051141 @default.
- W1990738469 date "2007-09-01" @default.
- W1990738469 modified "2023-10-14" @default.
- W1990738469 title "Three models for the homotopy theory of homotopy theories" @default.
- W1990738469 cites W1936971149 @default.
- W1990738469 cites W1992831671 @default.
- W1990738469 cites W2024369020 @default.
- W1990738469 cites W2024954356 @default.
- W1990738469 cites W2033501308 @default.
- W1990738469 cites W2062286811 @default.
- W1990738469 cites W2083795831 @default.
- W1990738469 cites W2108797281 @default.
- W1990738469 cites W2131797002 @default.
- W1990738469 cites W94242635 @default.
- W1990738469 doi "https://doi.org/10.1016/j.top.2007.03.002" @default.
- W1990738469 hasPublicationYear "2007" @default.
- W1990738469 type Work @default.
- W1990738469 sameAs 1990738469 @default.
- W1990738469 citedByCount "109" @default.
- W1990738469 countsByYear W19907384692012 @default.
- W1990738469 countsByYear W19907384692013 @default.
- W1990738469 countsByYear W19907384692014 @default.
- W1990738469 countsByYear W19907384692015 @default.
- W1990738469 countsByYear W19907384692016 @default.
- W1990738469 countsByYear W19907384692017 @default.
- W1990738469 countsByYear W19907384692018 @default.
- W1990738469 countsByYear W19907384692019 @default.
- W1990738469 countsByYear W19907384692020 @default.
- W1990738469 countsByYear W19907384692021 @default.
- W1990738469 countsByYear W19907384692022 @default.
- W1990738469 countsByYear W19907384692023 @default.
- W1990738469 crossrefType "journal-article" @default.
- W1990738469 hasAuthorship W1990738469A5079051141 @default.
- W1990738469 hasBestOaLocation W19907384691 @default.
- W1990738469 hasConcept C119720664 @default.
- W1990738469 hasConcept C131359564 @default.
- W1990738469 hasConcept C146867743 @default.
- W1990738469 hasConcept C150275644 @default.
- W1990738469 hasConcept C155366967 @default.
- W1990738469 hasConcept C164043645 @default.
- W1990738469 hasConcept C168334404 @default.
- W1990738469 hasConcept C18003601 @default.
- W1990738469 hasConcept C187929450 @default.
- W1990738469 hasConcept C191752858 @default.
- W1990738469 hasConcept C202444582 @default.
- W1990738469 hasConcept C2780069185 @default.
- W1990738469 hasConcept C33923547 @default.
- W1990738469 hasConcept C5961521 @default.
- W1990738469 hasConcept C64245159 @default.
- W1990738469 hasConcept C79236096 @default.
- W1990738469 hasConcept C97172818 @default.
- W1990738469 hasConceptScore W1990738469C119720664 @default.
- W1990738469 hasConceptScore W1990738469C131359564 @default.
- W1990738469 hasConceptScore W1990738469C146867743 @default.
- W1990738469 hasConceptScore W1990738469C150275644 @default.
- W1990738469 hasConceptScore W1990738469C155366967 @default.
- W1990738469 hasConceptScore W1990738469C164043645 @default.
- W1990738469 hasConceptScore W1990738469C168334404 @default.
- W1990738469 hasConceptScore W1990738469C18003601 @default.
- W1990738469 hasConceptScore W1990738469C187929450 @default.
- W1990738469 hasConceptScore W1990738469C191752858 @default.
- W1990738469 hasConceptScore W1990738469C202444582 @default.
- W1990738469 hasConceptScore W1990738469C2780069185 @default.
- W1990738469 hasConceptScore W1990738469C33923547 @default.
- W1990738469 hasConceptScore W1990738469C5961521 @default.
- W1990738469 hasConceptScore W1990738469C64245159 @default.
- W1990738469 hasConceptScore W1990738469C79236096 @default.
- W1990738469 hasConceptScore W1990738469C97172818 @default.
- W1990738469 hasIssue "4" @default.
- W1990738469 hasLocation W19907384691 @default.
- W1990738469 hasLocation W19907384692 @default.
- W1990738469 hasLocation W19907384693 @default.
- W1990738469 hasOpenAccess W1990738469 @default.
- W1990738469 hasPrimaryLocation W19907384691 @default.
- W1990738469 hasRelatedWork W1990738469 @default.
- W1990738469 hasRelatedWork W1995826476 @default.
- W1990738469 hasRelatedWork W2080705786 @default.
- W1990738469 hasRelatedWork W2133717328 @default.
- W1990738469 hasRelatedWork W28846871 @default.
- W1990738469 hasRelatedWork W2949663047 @default.
- W1990738469 hasRelatedWork W2950972079 @default.
- W1990738469 hasRelatedWork W3141701452 @default.
- W1990738469 hasRelatedWork W37325539 @default.
- W1990738469 hasRelatedWork W4299501616 @default.
- W1990738469 hasVolume "46" @default.
- W1990738469 isParatext "false" @default.
- W1990738469 isRetracted "false" @default.
- W1990738469 magId "1990738469" @default.
- W1990738469 workType "article" @default.