๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On homotopy invariance for homology of rank two groups

โœ Scribed by Wendt, Matthias (author)

Book ID
113740354
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
271 KB
Volume
216
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On the ranks of homotopy groups of two-c
On the ranks of homotopy groups of two-cones
โœ Pascal Lambrechts ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 120 KB

Let X be a finite simply-connected CW-complex of dimension n X . If X is a two-cone (that is: X is the homotopy cofiber of a map between suspensions) such that ฯ€ \* (X) โŠ— Q is infinite-dimensional, then there exist A, B > 0 and ฮฑ > 1 such that for any positive integer k we have This formula is prov

Finiteness of rank invariants of multidi
Finiteness of rank invariants of multidimensional persistent homology groups
โœ Francesca Cagliari; Claudia Landi ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 199 KB

Rank invariants of multidimensional persistent homology groups are a parameterized version of Betti numbers of a space multi-filtered by a continuous vector-valued function. In this note we give a sufficient condition for their finiteness. This condition is sharp for spaces embeddable in R n .