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Let $X$ be a continuum. Two maps $g, h : X \to X$ are said to be pseudo-homotopic provided that there exist a continuum $C$ , points $s, t \in C$ and a continuous function $H : X \times C \to X$ such that for each $x \in X$ , $H (x, s) = g (x)$ and $H (x, t) = h (x)$ . In this paper we prove that if $P$ is the pseudo-arc, $g$ is one-to-one and $h$ is pseudo-homotopic to $g$ , then $g = h$ . This theorem generalizes previous results by W. Lewis and M. Sobolewski.

Pullback and pushout squares in a special double category with connection

C. B. Spencer, Y. L. Wong (1983)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Displaying 21 – 28 of 28

Profondeur homotopique et conjecture de grothendieck

Pro-isomorphisms of homology towers.

Projective k-invariants

Proper CW-complexes: A category for the study of proper homotopy.

Proper homotopies in $l_{2}$ -manifolds

Proper shape retracts

Pseudo-homotopies of the pseudo-arc

Pullback and pushout squares in a special double category with connection

Currently displaying 21 – 28 of 28