Contraction of Areas vs. Topology of Mappings

We construct homotopically non-trivial maps from S[superscript m] to S[superscript m−1] with arbitrarily small k-dilation for each k > [(m + 1) over 2]. We prove that homotopically non-trivial maps from S[superscript m] to S[superscript m−1] cannot have arbitrarily small k-dilation for k ≤ [(m +...

ver descrição completa

Detalhes bibliográficos
Autor principal: Guth, Lawrence
Outros Autores: Massachusetts Institute of Technology. Department of Mathematics
Formato: Artigo
Idioma:en_US
Publicado em: Springer-Verlag 2015
Acesso em linha:http://hdl.handle.net/1721.1/92898
https://orcid.org/0000-0002-1302-8657