P-primary decomposition of maps into anH-space

The Space of Rational Maps on P

The set of morphisms φ : P → P of degree d is parametrized by an affine open subset Ratd of P . We consider the action of SL2 on Ratd induced by the conjugation action of SL2 on rational maps; that is, f ∈ SL2 acts on φ via φ = f ◦ φ ◦ f . The quotient space Md = Ratd/SL2 arises very naturally in the study of discrete dynamical systems on P. We prove that Md exists as an affine integral scheme ...

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...

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.

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