Criteria for homotopic maps to be so along monotone homotopies

Details Criteria for homotopic maps to be so along monotone homotopies Criteria for homotopic maps to be so along monotone homotopies

2007-09-24

arxiv.org/abs/0709.3715v3

Mathematics

Algebraic Topology

7 pages, 5 figures, partially presented at GETCO 2006. title change; strengthened Cor. 3.3. -> Prop. 3.7, Prop. 3.2 -> Lem. 3.

Scientific paper

The state spaces of machines admit the structure of time. A homotopy theory respecting this additional structure can detect machine behavior unseen by classical homotopy theory. In an attempt to bootstrap classical tools into the world of abstract spacetime, we identify criteria for classically homotopic, monotone maps of pospaces to future homotope, or homotope along homotopies monotone in both coordinates, to a common map. We show that consequently, a hypercontinuous lattice equipped with its Lawson topology is future contractible, or contractible along a future homotopy, if its underlying space has connected CW type.

Affiliated with

Also associated with

No associations

Rating

Criteria for homotopic maps to be so along monotone homotopies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Criteria for homotopic maps to be so along monotone homotopies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Criteria for homotopic maps to be so along monotone homotopies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-276687