<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

Data publikacji: 04 sie 2016

Zakres stron: 119 - 134

Otrzymano: 12 lis 2015

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

Słowa kluczowe
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

Data publikacji: 04 sie 2016

Zakres stron: 119 - 134

Otrzymano: 12 lis 2015

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

Słowa kluczowesemi-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.

Słowa kluczowe
semi-open set, generalized topological space, Baire generalized topological space, transitive function, nomadic function.