%0 Journal Article
%A Laguna, V. F.
%A Rodríguez Sanjurjo, José Manuel
%T Spaces of approximative maps. II
%D 1986
%@ 0214-1493
%U https://hdl.handle.net/20.500.14352/64846
%X 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 $d\sp*(\underline f,\underline g)=\inf \{\sup \{dist(f\sb k,g\sb k)\vert$ $k\ge k'\}\vert$ $k'=1,2,...\}$. They show that approximative maps from the same path component of $A\sp*(X,Y)$ induce the same shape morphism, but the converse implication does not hold. They also consider several classes of approximative maps which form closed subsets of $A\sp*(X,Y)$.
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