RT Journal Article T1 Quasicomponents and shape theory A1 Dydak, Jerzy A1 Morón, Manuel A. AB The authors give a definition of a function ˇ : SH! TOP, which in a sense is an anlogue of the Borsuk functor , where (X) is the space of the components of X, with thechange from components to quasi-components. Several properties of this functor are proved. PB Auburn University SN 0146-4124 YR 1988 FD 1988 LK https://hdl.handle.net/20.500.14352/58356 UL https://hdl.handle.net/20.500.14352/58356 LA eng NO K. Borsuk, Theory of shape, Polish Scientific Publishers, Warsaw 1975.B. J. Ball, Shapes of saturated subsets of compacta, Colloq. Math. 24 (1974), 241-246.B. J. Ball, Quasicompactifications and shape theory, Pacific J. Math. 84 (1979), 251-259.B. J. Ball, Partitioning shape-equivalent spaces, Bull. Acad. Pol. Sci. 29 (1981), 491-497.J. Dydak and G. Kozlowski, A generalization of the Vietoris-Begle theorem, Proc. Amer. Math. Soc. 102 (1988), 209-212.J. Dydak and J. Segal, Shape theory: An introduction, Lecture Notes in Math. 688, Springer Verlag, 1978, 1-150.J. Dydak, J. Segal and Stanislaw Spiez, A nonmovable space with movable components, Proceedings of The Amer. Math. Soc. (to appear) R. Engelking, Outline of general topology, NorthHolland Publishing Co., Amsterdam 1968.S. Godlewski, On components of MANR-spaces, Fund. Math. 114 (1981), 87-94.S. T. Hu, Theory of retracts, Wayne State University Press, Detroit, 1965.M. A. Morón, Upper semicontinuous decompositions and movability in metric spaces, Bull. Acad. Pol. Sci. 35 (1987), 351-357.S. Nowak, Some properties of fundamental dimension, Fund. Math. 85 (1974), 211-227.J. M. R. Sanjurjo, On a theorem of B. J. Bal, Bull. Acad. Pol. Sci. 33 (1985), 177-180. DS Docta Complutense RD 8 may 2024