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Sensitivity, property $P$ $P$ and uniform entropy

Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda, Vadodara 390002, Gujarat, India

E-mail Address: sks1010@gmail.com

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Ruchi Das

Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110007, India

E-mail Address: rdasmsu@gmail.com

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, and

Tarun Das

Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi-110007, India

E-mail Address: tarukd@gmail.com

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https://doi.org/10.1142/S1793557119500025Cited by:1 (Source: Crossref)

Abstract

We give a sufficient condition for sensitivity of continuous maps defined on a uniform space. We also study property $P$ $P$ for uniformly continuous maps defined on a uniform space and its relation with uniform entropy.

Communicated by H. Srivastava

Keywords:

AMSC: 37B40, 37B20

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