RT Journal Article
T1 Spaces of approximative maps. II
A1 Laguna, V. F.
A1 Rodríguez Sanjurjo, José Manuel
AB 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 $A\sp*(X,Y)$.
PB Universitat Autònoma de Barcelona
SN 0214-1493
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64846
UL https://hdl.handle.net/20.500.14352/64846
LA eng
DS Docta Complutense
RD 1 may 2024