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oai:docta.ucm.es:20.500.14352/648462023-08-28T18:32:17Zcom_20.500.14352_14col_20.500.14352_15

Spaces of approximative maps. II Laguna, V. F. Rodríguez Sanjurjo, José Manuel 515.143 space of approximative maps between compact subsets of the Hilbert cube shape morphism Topología 1210 Topología 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 $A\sp*(X,Y)$. Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:05:58Z 2023-06-21T02:05:58Z 1986 journal article https://hdl.handle.net/20.500.14352/64846 0214-1493 10.5565/PUBLMAT_302386_09 eng open access application/pdf Universitat Autònoma de Barcelona