A new inductive approach for counting dimension in large scale

Autor:	Sh. Kalantari
Rok vydání:	2018
Předmět:	010101 applied mathematics Asymptotic dimension Metric space Pure mathematics Dimension (vector space) Scale (ratio) General Mathematics 010102 general mathematics 0101 mathematics Scale invariance 01 natural sciences Mathematics
Zdroj:	Archiv der Mathematik. 110:403-412
ISSN:	1420-8938 0003-889X
Popis:	We introduce the notion of large scale dimensiongrad as a large scale invariant of asymptotic resemblance spaces. Consequently it can be considered as a large scale invariant of metric spaces. The large scale dimensiongrad is a way of counting dimension in large scale but it is different from asymptotic dimension in general, as we show in the paper, too.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1fa77caca91249794d6c7c9851163140 https://doi.org/10.1007/s00013-017-1140-2 Zobrazit plný text záznamu Full text from SpringerLink