Smooth approximations and their applications to homotopy types

Autor:	Oleksandra Khokhliuk, Sergiy Maksymenko
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry weak homotopy equivalence smooth approximation Space (mathematics) 01 natural sciences Omega 010305 fluids & plasmas Combinatorics Mathematics - Geometric Topology 0103 physical sciences FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology 0101 mathematics Physics Group (mathematics) lcsh:Mathematics Applied Mathematics Homotopy 58B05 58B10 58D05 55Q05 010102 general mathematics Geometric Topology (math.GT) weak whitney topology lcsh:QA1-939 Manifold Differential Geometry (math.DG) Geometry and Topology Analysis
Zdroj:	Pracì Mìžnarodnogo Geometričnogo Centru, Vol 13, Iss 2, Pp 68-108 (2020)
ISSN:	2409-8906 2072-9812
DOI:	10.15673/tmgc.v13i2.1781
Popis:	Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with weak $C^{r}$ Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset. It is proved that for $0\leq r Comment: 31 pages, improved exposition, fixed some misprints, added few references
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e3cb2eb1071f6d3ba13465a1150ce84 https://doi.org/10.15673/tmgc.v13i2.1781 Zobrazit plný text záznamu Plný text ve formátu PDF