homotopical connectivity is a property describing a topological space based on the dimension of its holes. In general, low homotopical connectivity indicates...
19 KB (3,209 words) - 01:06, 16 October 2023
Homotopical connectivity, a property related to the dimensions of holes in a topological space, and to its homotopy groups. Homological connectivity,...
2 KB (217 words) - 16:02, 23 January 2023
biology, homotopic connectivity is the connectivity between mirror areas of the human brain hemispheres. Changes in the homotopic connectivity occur in...
2 KB (263 words) - 17:47, 17 April 2024
Homotopical connectivity. Meshulam's game is a game played on a graph G, that can be used to calculate a lower bound on the homological connectivity of...
6 KB (892 words) - 15:41, 30 December 2022
Join (topology) (section Homotopical connectivity)
{\displaystyle A,B} , the homotopical connectivity ( η π {\displaystyle \eta _{\pi }} ) of their join is at least the sum of connectivities of its parts:: 81...
16 KB (3,105 words) - 05:17, 16 May 2024
This implies, in particular, that the homological connectivity equals the homotopical connectivity when the latter is at least 1. In addition, the Hurewicz...
9 KB (1,309 words) - 00:36, 19 August 2023
_{m,n}} is min ( m , n ) − 1 {\displaystyle \min(m,n)-1} . The homotopical connectivity of the chessboard complex is at least min ( m , n , m + n + 1 3...
8 KB (1,176 words) - 13:54, 21 August 2023
Derived algebraic geometry (redirect from Homotopical algebraic geometry)
{\displaystyle A_{i}} Moreover, the spectral scheme X {\displaystyle X} is called connective if π i ( O X ) = 0 {\displaystyle \pi _{i}({\mathcal {O}}_{\mathfrak {X}})=0}...
14 KB (1,810 words) - 16:44, 31 July 2024
extra that is not needed. Merker, for instance, argues that the homotopic connectivity of sensory pathways does the necessary work. In modern connectionism...
51 KB (6,484 words) - 19:49, 21 August 2024
JSTOR 1969744. MR 0058971. Brown, Ronald; Loday, Jean-Louis (1987). "Homotopical excision, and Hurewicz theorems, for n-cubes of spaces". Proceedings...
5 KB (564 words) - 04:20, 13 May 2023