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

Homotopical connectivity, a property related to the dimensions of holes in a topological space, and to its homotopy groups. Homological connectivity,...

biology, homotopic connectivity is the connectivity between mirror areas of the human brain hemispheres. Changes in the homotopic connectivity occur in...

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...

{\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...

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

_{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...

{\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}...

extra that is not needed. Merker, for instance, argues that the homotopic connectivity of sensory pathways does the necessary work. In modern connectionism...

JSTOR 1969744. MR 0058971. Brown, Ronald; Loday, Jean-Louis (1987). "Homotopical excision, and Hurewicz theorems, for n-cubes of spaces". Proceedings...