algebraic topology, homological connectivity is a property describing a topological space based on its homology groups. X is homologically-connected if its...

Look up connectivity in Wiktionary, the free dictionary. Connectivity may refer to: Connectivity (media), the ability of the social media to accumulate...

homotopical connectivity is a property describing a topological space based on the dimension of its holes. In general, low homotopical connectivity indicates...

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...

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...

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...

Extraordinary homology theory Homological algebra Homological conjectures in commutative algebra Homological connectivity Homological dimension Homotopy group...

4.32  This implies, in particular, that the homological connectivity equals the homotopical connectivity when the latter is at least 1. In addition, the...

_{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}}}...

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...