Thomas Duzer

Compact Quasi-Metric Spaces Are Expand-Contract Plastic

On a totally bounded metric space, every non-contractive self-map is an isometry (Freudenthal–Hurewicz; Naimpally–Piotrowski–Wingler). For quasi-metric spaces, taken T1 throughout, this fails: Zavarzina gave a hereditarily precompact counterexample (Carpathian Math. Publ. 15(2),...