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Original Articles
A Functional Approach to a Topological Entropy in Bornological Linear Spaces
ALEJANDRO MESÓNmeson@iflysib.unlp.edu.arDepartamento de FisicomatemáticaFacultad de IngenieríaInstituto de Física de Líquidos y Sistemas Biológicos(Iflysib)-Unlp-Conicet, Universidad Nacional de la Plata, ArgentinaView full profile → , FERNANDO VERICATvericat@iflysib.unlp.edu.arDepartamento de FisicomatemáticaFacultad de IngenieríaGrupo de Aplicaciones Matemáticas y Estadísticas De La Facultad De Ingeniería (GAMEFI)Universidad Nacional de La PlataUniversidad Nacional de la Plata, ArgentinaView full profile →
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- Received:
- 11 Feb 2004
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2005.10698487
- Pages:
- 45–54
Abstract
We extend the classical notion of topological entropy of noncompact sets, in metric spaces, to locally convex bornological spaces. The definition of this invariant is based on the dimensional approach of Pesin for C–structures in metric spaces and the limiting procedure of Almeida and Barreira for non-metrizable spaces. We present also a functional definition.
Keywords
References
- Almeida, J. and Barreira, L.2002 . Hausdorff dimension in convex bornological spaces . , 268 : 590 – 601 .
- Bowen, R.1973 . Topological entropy for non-compact sets . , 184 : 125 – 136 .
- Langevin, R. and Walczak, P.1994 . Entropy, tranverse and partitions of the unity . , 14 : 551 – 563 .
- Pesin, Y.1997 . , Chicago and London: The University of Chicago Press .
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