Translator Disclaimer
October, 1999 Generalized Bebutov systems: a dynamical interpretation of shape
Antonio GIRALDO, José M. R. SANJURJO
J. Math. Soc. Japan 51(4): 937-954 (October, 1999). DOI: 10.2969/jmsj/05140937

Abstract

We define a semidynamical system-inspired by some classical dynamical systems studied by Bebutov in function spaces-in the space of approximative maps A(X,Y) between two metric compacta, with a suitable metric. Shape and strong shape morphisms are characterized as invariant subsets of this system. We study their structure and asymptotic properties and use the obtained results to give dynamical characterizations of basic notions in shape theory, like trivial shape, shape domination by polyhedra and internal FANRs.

Citation

Download Citation

Antonio GIRALDO. José M. R. SANJURJO. "Generalized Bebutov systems: a dynamical interpretation of shape." J. Math. Soc. Japan 51 (4) 937 - 954, October, 1999. https://doi.org/10.2969/jmsj/05140937

Information

Published: October, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 1033.55007
MathSciNet: MR1705255
Digital Object Identifier: 10.2969/jmsj/05140937

Subjects:
Primary: 54C56, 54H20‎, 55P55, 58F10, 58F25

Rights: Copyright © 1999 Mathematical Society of Japan

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.51 • No. 4 • October, 1999
Back to Top