Positive weights and self-maps

Abstract

Spaces with positive weights are those whose rational homotopy type admits a large family of "rescaling" automorphisms. We show that finite complexes with positive weights have many genuine self-maps. We also fix the proofs of some previous related results.

9 pages. v2 adds some clarifications and expanded arguments in response to referee report, no change to mathematical content. v3 fixes a formula on p. 7

References in corpus (2)

• Plato's cave and differential forms
• Integral and rational mapping classes

Cited by in corpus (2)

• Degrees of maps and multiscale geometry
• Scalable spaces