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The aim of this paper is to present a brief survey of some aspects of the theory of approximative retracts. We put special emphasis on properties of approximative absolute neighborhood retracts (both in the sense of Noguchi and in the sense of C[...]texto impreso
We introduce the notion of internal fundamental sequence and prove that any shape morphism from an arbitrary compactum X to an internally movable compactum Y is induced by an internal fundamental sequence. We use this special kind of fundamental[...]texto impreso
Given two shape morphisms F,G:X?Y , where X and Y are compacta, one declares F to be a divisor of G provided for any compactum Z and any shape morphism U:X?Z if F factors as F=F 1 ?U , then G factors as G=G 1 ?U . On the other hand, if S[...]texto impreso
For compact metric spaces X , Y contained in a given compact AR Q , the authors consider the set A(X,Y) of all approximative maps (in the sense of K. Borsuk [same journal 62 (1968), 223–254]). On A(X,Y) they define a metric making A(X,Y) a c[...]texto impreso
Laguna, V. F. ; Rodríguez Sanjurjo, José Manuel | Japanese Association of mathematical Sciences | 1986Let A(X,Y) be the set of all approximate maps ofa compactum X to a compactum Y. In this paper we define two topologies on A(X,Y) and study some properties of the spaces obtained.texto impreso
The authors study the space $A\sp*(X,Y)$ of all approximative maps f\{f\sb k: X\to Y\}$ between compact subsets X, Y of the Hilbert cube. The topology of this space is given by the pseudometric $d\sp*(\underline f,\underline g)=\inf \{\sup \{d[...]texto impreso
We consider parameterized families of flows in locally compact metrizable spaces and give a characterization of those parameterized families of flows for which uniform persistence continues. On the other hand, we study the generalized Poincare-A[...]
