On maps into a co-$H$-space

On maps into a co-H-space

We prove that the domain of a map X —> Y to a co-H-space inherits a coH-structure provided some dimensionality and connectivity properties hold. Then we deduce that a space X admits a co-H-structure if and only if on all its skeletons there is such a structure as well. Moreover, if X is 1-connected then a co-H-structure on X is equivalent to such a structure on all its homology decomposition st...

A Note on Quadratic Maps for Hilbert Space Operators

In this paper, we introduce the notion of sesquilinear map on Β(H) . Based on this notion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...  

ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

‎In this work‎, ‎we investigate admitting center map on multiplicative metric space‎ ‎and establish some fixed point theorems for such maps‎. ‎We modify the Banach contraction principle and‎ ‎the Caristi's fixed point theorem for M-contraction admitting center maps and we prove some‎ ‎useful theorems‎. ‎Our results on multiplicative metric space improve and modify‎ ‎s...

Approximation of Maps into Lipscomb’s Space by Embeddings

Locally Stable Maps of the 3-Sphere into 4-Space

We classify locally stable maps from the 3-sphere to 4-space up to homotopy through locally stable maps. The equivalence class of a locally stable map f is determined by the isotopy type τ(f) of its framed singularity link, its generalized normal degree ν(f), and the algebraic number of cusps κ(f) of any generic extension of f to a map of the 4-disk into 5-space. Furthermore, relations between ...