A Vietoris-Begle Theorem for Differentiable Maps

A Vietoris Mapping Theorem for Homotopy

Let X and Y be compact metric spaces and let a map /: X—> Y be onto. The Vietoris Mapping Theorem as proved by Vietoris [8] states that if for all Ofkrfkn-1 and all yEY, flr(/_1(y)) =0 (augmented Vietoris homology mod two) then the induced homomorphism /*: Hr(X)-+Hr(Y) is an isomorphism onto for rfkn — l and onto for r=n. Begle [l; 2] has generalized this theorem to nonmetric spaces and more ge...

Differentiable Periodic Maps

1. The bordism groups. This note presents an outline of the authors' efforts to apply Thorn's cobordism theory [ó] to the study of differentiable periodic maps. First, however, we shall outline our scheme for computing the oriented bordism groups of a space [ l ] . These preliminary remarks bear on a problem raised by Milnor [4]. A finite manifold is the finite disjoint union of compact connect...

A unique common fixed point theorem for six maps in g-metric spaces

In this paper we obtain a unique common xed point theorem for sixweakly compatible mappings in G-metric spaces.

A COMMON FIXED POINT THEOREM FOR $psi$-WEAKLY COMMUTING MAPS IN L-FUZZY METRIC SPACES

In this paper, a common fixed point theorem for $psi$-weakly commuting maps in L-fuzzy metric spaces is proved.

Whyburn'S conjecture for some differentiable maps.