Electronic Version 18 (1993), 89-106

Aarno Hohti

In this paper we study compact subsets of Euclidean spaces having Lipschitz continuous local mixers. This property, together with the condition of local quasiconvexity, characterizes those subspaces which are Lipschitz neighbourhood retracts. The spaces having Lipschitz continuous local mixers are Lipschitz LCⁿ spaces for n > 0, but in general not locally quasiconvex. By a suitable compatible re-metrization of a compact space, every (local) mixer of the space can be made Lipschitz continuous.

• AtlasImage format
• HTML version (with inline images)
• DVI file
• PostScript file

volume 18: table of contents
topology proceedings Electronic Version