# American Institute of Mathematical Sciences

June  2011, 31(2): 545-556. doi: 10.3934/dcds.2011.31.545

## Topological pressure and topological entropy of a semigroup of maps

 1 Department of Mathematics, South China University of Technology, Guangzhou, 510640, China 2 Department of Mathematics, South China University of Technology, Guangzhou, 510641, China

Received  April 2010 Revised  February 2011 Published  June 2011

By using the Carathéodory-Pesin structure(C-P structure), with respect to arbitrary subset, the topological pressure and topological entropy, introduced for a single continuous map, is generalized to the cases of semigroup of continuous maps. Several of their basic properties are provided.
Citation: Dongkui Ma, Min Wu. Topological pressure and topological entropy of a semigroup of maps. Discrete & Continuous Dynamical Systems - A, 2011, 31 (2) : 545-556. doi: 10.3934/dcds.2011.31.545
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