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Morón, Manuel A. ; Romero Ruiz del Portal, Francisco | Japanese Association of mathematical Sciences | 1994We give a new description of the shape category of paracompact spaces in terms of multivalued maps that allows us to find new characterizations, in some way intrinsic, of calmness, movability and maps inducing shape equivalences, and to extend t[...]texto impreso
The classical theory of the degree of a map f: Sn !Sn has been extended by many authors. K. G ‘ eba, I. Massab`o and A. Vignoli [in Nonlinear functional analysis and its applications (Maratea,1985), 55–73, Reidel, Dordrecht, 1986; have defined a[...]texto impreso
An upper semicontinuous multivalued map F:X?Y is said to be ? -small if the diameter of F(x) is less than ? for each x?X . F and G are ? -homotopic if there is an ? -small homotopy H:X×I?Y joining F and G . F:X×[0,?)?Y is a fine multival[...]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.
