A Criterion for Homotopic Maps to Be Dihomotopic
نویسنده
چکیده
In an attempt to bootstrap classical homotopy theoretic tools into the world of abstract spacetime, we identify a criterion under which two maps of compact pospaces which are homotopic in the classical sense are also homotopic through monotone maps. As a corollary, we show that a hypercontinuous lattice equipped with its Lawson topology is contractible through monotone maps if its underlying space has connected CW type.
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