Universal homotopy theories

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dc.creatorDugger, Daniel
dc.date2000-07-11
dc.date.accessioned2026-07-25T22:49:41Z
dc.descriptionGiven a small category C, we show that there is a universal way of expanding C into a model category, essentially by formally adjoining homotopy colimits. The technique of localization becomes a method for imposing `relations' into these universal gadgets. The paper develops this formalism and discusses various applications, for instance to the study of homotopy colimits, the Dwyer-Kan theory of framings, and to the homotopy theory of schemes.
dc.identifierhttps://arxiv.org/abs/math/0007070
dc.identifierhttp://arxiv.org/abs/math/0007070
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/92890
dc.subjectAlgebraic Topology
dc.subjectCategory Theory
dc.titleUniversal homotopy theories
dc.typetext

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