Maps into complex 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...

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 ...

Cobordisms of Fold Maps of 4-manifolds into the Space

We compute the oriented cobordism group of fold maps of 4-manifolds into R 3 with all the possible restrictions (and also with no restriction) to the singular fibers. We also give geometric invariants which describe completely the cobordism group of fold maps.