Laguna, V. F.Rodríguez Sanjurjo, José Manuel2023-06-212023-06-2119860214-149310.5565/PUBLMAT_302386_09https://hdl.handle.net/20.500.14352/64846The 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 $A\sp*(X,Y)$.engjournal articlehttp://www.raco.cat/index.php/PublicacionsSeccioMatematiques/issue/archivehttp://www.uab.cat/matematiques/open access515.143space of approximative maps between compact subsets of the Hilbert cubeshape morphismTopología1210 Topología