naa a22 4500 510760988 CHVBK 20180411083139.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1007/s13163-012-0102-2 doi (NATIONALLICENCE)springer-10.1007/s13163-012-0102-2 Asymptotic dimension, property A, and Lipschitz maps [Elektronische Daten] [M. Cencelj, J. Dydak, A. Vavpetič] It is well-known that a paracompact space X is of covering dimension n if and only if any map f:X→K from X to a simplicial complex K can be pushed into its n-skeleton K (n). We use the same idea to define dimension in the coarse category. It turns out the analog of maps f:X→K is related to asymptotically Lipschitz maps, the analog of paracompact spaces are spaces related to Yu's Property A, and the dimension coincides with Gromov's asymptotic dimension. Universidad Complutense de Madrid, 2012 Asymptotic dimension nationallicence Coarse geometry nationallicence Lipschitz maps nationallicence Property A nationallicence Cencelj M. Pedagoška Fakulteta in IMFM, Univerza v Ljubljani, Jadranska ulica 19, 1111, Ljubljana, Slovenia aut Dydak J. University of Tennessee, 37996, Knoxville, TN, USA aut Vavpetič A. Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska ulica 19, 1111, Ljubljana, Slovenia aut Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 561-571 1139-1138 26:2<561 2013 26 13163 https://doi.org/10.1007/s13163-012-0102-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13163-012-0102-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cencelj M. Pedagoška Fakulteta in IMFM, Univerza v Ljubljani, Jadranska ulica 19, 1111, Ljubljana, Slovenia aut NATIONALLICENCE 700 1- Dydak J. University of Tennessee, 37996, Knoxville, TN, USA aut NATIONALLICENCE 700 1- Vavpetič A. Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska ulica 19, 1111, Ljubljana, Slovenia aut NATIONALLICENCE 773 0- Revista Matemática Complutense Springer Milan 26/2(2013-07-01), 561-571 1139-1138 26:2<561 2013 26 13163 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer