Sheaves of Ordered Spaces and Interval Theories

نویسندگان

  • KRZYSZTOF WORYTKIEWICZ
  • Ronald Brown
چکیده

We study the homotopy theory of locally ordered spaces, that is manifolds with boundary whose charts are partially ordered in a compatible way. Their category is not particularly well-behaved with respect to colimits. However, this category turns out to be a certain full subcategory of a topos of sheaves over a simpler site. The ambient topos makes available some general homotopical machinery.

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تاریخ انتشار 2010