<abstract xmlns="http://www.w3.org/1999/xhtml"><p> At the end of the twentieth century, Á. Császár pointed out the possibility of the transition from topology to generalized topology and vice versa. One of the tools used for this purpose are semi-open sets. In this paper, we investigate properties of functions in GTS in the context of semi-open sets, and problems connected with transfer of properties of functions defined and assuming their values in primal spaces to functions considered as mappings in the spaces generated by primal spaces.</p></abstract>

At the end of the twentieth century, Á. Császár pointed out the possibility of the transition from topology to generalized topology and vice versa. One of the tools used for this purpose are semi-open sets. In this paper, we investigate properties of functions in GTS in the context of semi-open sets, and problems connected with transfer of properties of functions defined and assuming their values in primal spaces to functions considered as mappings in the spaces generated by primal spaces.

On Semi-Open Sets and Mutual Correspondence Between Properties of Functions Considered with Respect to Different Topological Structures

Faculty of Mathematics and Computer Sicence Łόdź University 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.

At the end of the twentieth century, Á. Császár pointed out the possibility of the transition from topology to generalized topology and vice versa. One of the...

On Semi-Open Sets and Mutual Correspondence Between Properties of Functions Considered with Respect to Different Topological Structures

Publié en ligne: 04 août 2016

Pages: 119 - 134

Reçu: 12 nov. 2015

DOI: https://doi.org/10.1515/tmmp-2016-0010

Mots clés
semi-open set, generalized topological space, Baire generalized topological space, transitive function, nomadic function.

© 2016

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

On Semi-Open Sets and Mutual Correspondence Between Properties of Functions Considered with Respect to Different Topological Structures

Publié en ligne: 04 août 2016

Pages: 119 - 134

Reçu: 12 nov. 2015

DOI: https://doi.org/10.1515/tmmp-2016-0010

Mots cléssemi-open set, generalized topological space, Baire generalized topological space, transitive function, nomadic function.

© 2016

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

Mots clés
semi-open set, generalized topological space, Baire generalized topological space, transitive function, nomadic function.