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math.CT2014
Displacements
Hugo V. Bacard
Given a functor and an object , we define a \emph{displacement} of along a morphism , as a map $e \rightarrow \na…
math.CT2012★ 4 cited
Lax Diagrams and Enrichment
Hugo V. Bacard
We introduce a new type of weakly enriched categories over a given symmetric monoidal model category M; these are called Co-Segal categories. Their definition derives from the phil…
math.CT2010★ 5 cited
Segal Enriched Categories I
Hugo V. Bacard
We develop a theory of enriched categories over a (higher) category M equipped with a class W of morphisms called homotopy equivalences. We call them Segal M_W -categories. Our mot…