A NOTE ON POSITIVELY EXPANSIVE MAPS ON NON-COMPACT SPACES

CHETANA, U. V. and SHANKAR, B. R. (2016) A NOTE ON POSITIVELY EXPANSIVE MAPS ON NON-COMPACT SPACES. Asian Journal of Mathematics and Computer Research, 11 (1). pp. 57-60.

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Abstract

Expansive homeomorphisms and positively expansive maps occur frequently in dynamical systems. In compact spaces, positively expansive maps cannot be injective. In non-compact spaces they may or may not be injective, and an element can have any prescribed number of pre-images, even when the space is totally bounded and perfect. An example is given to clarify this.

Item Type: Article
Subjects: OA Open Library > Mathematical Science
Depositing User: Unnamed user with email support@oaopenlibrary.com
Date Deposited: 13 Jan 2024 04:02
Last Modified: 13 Jan 2024 04:02
URI: http://archive.sdpublishers.com/id/eprint/2295

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