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Prabir Roy's space Δ as a counterexample in shape theory

Morón, Manuel A. (1986) Prabir Roy's space Δ as a counterexample in shape theory. Proceedings of the American Mathematical Society, 98 (1). pp. 187-188. ISSN 0002-9939

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Abstract

In this note we use the space Δ in order to prove that a result concerning movability and mutational retractions cannot be transferred from the compact to the arbitrary metrizable case

Item Type:Article
Uncontrolled Keywords:Movable; mutational retract; Prabir Roy's space Δ.
Subjects:Sciences > Mathematics > Topology
ID Code:15722
References:

K. Borsuk, Theory of shape, Monogr. Mat. 59, PWN, Warsaw, 1975.

R. Engelking, General topology, Monogr. Mat. 60, PWN, Warsaw, 1977.

R. H. Fox, On shape, Fund. Math. 74 (1972), 47-71.

S. Godlewski, Mutational retracts and extensions of mutations, Fund. Math. 84 (1974), 47-65.

P. Nyikos, Prabir Roy's space Δ is not N-compact, General Toplogy Appl. 3 (1973), 197-210.

P. Roy, Nonequality of dimensions for metric spaces, Trans. Amer. Math. Soc. 134 (1968), 117-132.

K. Sakai, Some properties of MAR and MANR, Tôhoku Math. J. 30 (1978), 351-366.

S. Spiez, A majorant for the family of all movable shapes, Bull. Acad. Polon. Sci. 21 (1973), 615-620.

Deposited On:22 Jun 2012 08:31
Last Modified:05 Nov 2013 15:32

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