Parametric Bing and Krasinkiewicz maps: revisited
- Autores: Vesko Valov
- Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 2, 2011, págs. 747-756
- Idioma: inglés
- DOI: 10.1090/s0002-9939-2010-10724-4
- Enlaces
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Resumen
Let be a complete metric -space such that for any metric compactum the function space contains a dense set of Bing (resp., Krasinkiewicz) maps. It is shown that has the following property: If is a perfect surjection between metric spaces, then with the source limitation topology contains a dense -subset of maps such that all restrictions , , are Bing (resp., Krasinkiewicz) maps. We apply the above result to establish some mapping theorems for extensional dimension.
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Vesko Valov Affiliation: Department of Computer Science and Mathematics, Nipissing University, 100 College Drive, P.O. Box 5002, North Bay, ON, P1B 8L7, Canada Email: veskov@nipissingu.ca DOI: 10.1090/S0002-9939-2010-10724-4 PII: S 0002-9939(2010)10724-4 Keywords: Bing maps, Krasinkiewicz maps, continua, metric spaces, absolute neighborhood retracts, extensional dimension Received by editor(s): December 22, 2008 Received by editor(s) in revised form: January 6, 2009 Posted: September 24, 2010 Additional Notes: The author was partially supported by NSERC Grant 261914-08.
Communicated by: Alexander N. Dranishnikov Copyright of article: Copyright 2010, American Mathematical Society The copyright for this article reverts to public domain after 28 years from publication.
