algebraic topology, homological connectivity is a property describing a topological space based on its homology groups. X is homologically-connected if its...
6 KB (892 words) - 15:41, 30 December 2022
Look up connectivity in Wiktionary, the free dictionary. Connectivity may refer to: Connectivity (media), the ability of the social media to accumulate...
2 KB (217 words) - 16:02, 23 January 2023
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
related to the homological connectivity of the independence complex of a graph, which is the smallest index k such that all reduced homological groups up to...
8 KB (1,247 words) - 13:33, 24 July 2024
theorem, G has an ISR. One family of conditions is based on the homological connectivity of the independence complex of subgraphs. To state the conditions...
21 KB (2,703 words) - 07:20, 18 July 2024
is true for Hi(S) for all i not equal to 0 or 1. Therefore, the homological connectivity of the triangle is 0 (it is the largest k for which the reduced...
17 KB (2,171 words) - 08:50, 19 June 2024
Extraordinary homology theory Homological algebra Homological conjectures in commutative algebra Homological connectivity Homological dimension Homotopy group...
54 KB (8,218 words) - 14:50, 22 August 2024
4.32 This implies, in particular, that the homological connectivity equals the homotopical connectivity when the latter is at least 1. In addition, the...
9 KB (1,309 words) - 00:36, 19 August 2023
_{y\in Y_{0}}V_{y}.} Suppose that, for every subset Y0 of Y, the homological connectivity plus 2 of the sub-complex induced by V Y 0 {\displaystyle V_{Y_{0}}}...
46 KB (6,498 words) - 21:05, 5 January 2024
a graph G, that can be used to calculate a lower bound on the homological connectivity of the independence complex of G. The matching complex of a graph...
7 KB (1,059 words) - 07:53, 2 January 2024