<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we investigate topological properties of the sets of almost continuous functions f: [0,1] → [0,1] which locally approximate a fixed function. This approximation is associated with the certain value of entropy of a function at a fixed point of the primal function.</p></abstract>

In this paper, we investigate topological properties of the sets of almost continuous functions f: [0,1] → [0,1] which locally approximate a fixed function. This approximation is associated with the certain value of entropy of a function at a fixed point of the primal function.

On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function

University Faculty of Mathematics and Computer Science Banacha 22 PL 90-238 Łόdź Poland

Łόdź University Faculty of Mathematics and Computer Science Banacha 22 PL 90-238 Łόdź Poland

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

In this paper, we investigate topological properties of the sets of almost continuous functions f: [0,1] → [0,1] which locally approximate a fixed function....

On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function

Published Online: Aug 04, 2016

Page range: 105 - 118

Received: Nov 11, 2015

DOI: https://doi.org/10.1515/tmmp-2016-0009

Keywords
almost continuous functions, approximation of a function, topology of uniform convergence, entropy (at a point)

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

On Some Sets of Almost Continuous Functions which Locally Aproximate a Fixed Function

Published Online: Aug 04, 2016

Page range: 105 - 118

Received: Nov 11, 2015

DOI: https://doi.org/10.1515/tmmp-2016-0009

Keywordsalmost continuous functions, approximation of a function, topology of uniform convergence, entropy (at a point)

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
almost continuous functions, approximation of a function, topology of uniform convergence, entropy (at a point)