<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We compare families of functions related to the Darboux property (functions having the 𝒜-Darboux property) with family of strong Świątkowski functions using the notions of strong c-algebrability. We also compare families of functions associated with density topologies.</p></abstract>

We compare families of functions related to the Darboux property (functions having the 𝒜-Darboux property) with family of strong Świątkowski functions using the notions of strong c-algebrability. We also compare families of functions associated with density topologies.

Comparison of Some Families of Real Functions in Algebraic Terms

Faculty of Mathematics and Computer Sciences

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Comparison of Some Families of Real Functions in Algebraic Terms"}

We compare families of functions related to the Darboux property (functions having the 𝒜-Darboux property) with family of strong Świątkowski functions using...

Comparison of Some Families of Real Functions in Algebraic Terms

Published Online: Nov 18, 2017

Page range: 1 - 11

Received: Nov 19, 2015

DOI: https://doi.org/10.1515/tmmp-2017-0001

Keywords
Darboux property, strong Świątkowski property, quasi-continuity, strong algebrability

© 2017 Małgorzata Filipczak et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Comparison of Some Families of Real Functions in Algebraic Terms

Published Online: Nov 18, 2017

Page range: 1 - 11

Received: Nov 19, 2015

DOI: https://doi.org/10.1515/tmmp-2017-0001

KeywordsDarboux property, strong Świątkowski property, quasi-continuity, strong algebrability

© 2017 Małgorzata Filipczak et al., published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Darboux property, strong Świątkowski property, quasi-continuity, strong algebrability