Homotopy classes of Newtonian maps
| Autor: | Elefterios Soultanis |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Homotopy group
Pure mathematics Homotopy category General Mathematics Homotopy 010102 general mathematics Cofibration Topology Mathematics::Algebraic Topology 01 natural sciences Regular homotopy Metric space n-connected Homotopy sphere Mathematics::K-Theory and Homology Mathematics::Category Theory 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Revista Matemática Iberoamericana. 33:951-994 |
| ISSN: | 0213-2230 |
| DOI: | 10.4171/rmi/960 |
| Popis: | In this paper we study notions of homotopy in the Newtonian space N1,p(X;Y) of Sobolev type maps between metric spaces. After studying the properties and relations of two different notions we prove a compactness result for sequences in homotopy classes with controlled homotopies. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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