A convenient category of locally preordered spaces

Details A convenient category of locally preordered spaces A convenient category of locally preordered spaces

2007-09-23

arxiv.org/abs/0709.3646v3

Mathematics

Algebraic Topology

26 pages, 0 figures, partially presented at GETCO 2005; changes: claim of Prop. 5.11 weakened to finite case and proof changed

Scientific paper

10.1007/s10485-008-9140-9

As a practical foundation for a homotopy theory of abstract spacetime, we
extend a category of certain compact partially ordered spaces to a convenient
category of locally preordered spaces. In particular, we show that our new
category is Cartesian closed and that the forgetful functor to the category of
compactly generated spaces creates all limits and colimits.

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