Lineability of the functions that are Sierpiński–Zygmund, Darboux, but not connectivity-Reference-Cited by-同舟云学术

Lineability of the functions that are Sierpiński–Zygmund, Darboux, but not connectivity

Published:2020-06-04 Issue:3 Volume:114 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:RACSAM

Author:

Albkwre Gbrel M.,Ciesielski Krzysztof Chris^ORCID,Wojciechowski Jerzy

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s13398-020-00881-9.pdf

Reference30 articles.

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2. Aron, R.M., Bernal González, L., Pellegrino, D.M., Seoane Sepúlveda, J.B.: Lineability: the search for linearity in mathematics, Monographs and Research Notes in Mathematics. CRC Press, Boca Raton (2016)

3. Aron, R.M., Gurariy, V.I., Seoane-Sepúlveda, J.B.: Lineability and spaceability of sets of functions on $$\mathbb{R}$$. Proc. Am. Math. Soc. 133(3), 795–803 (2005). https://doi.org/10.1090/S0002-9939-04-07533-1

4. Balcerzak, M., Ciesielski, K., Natkaniec, T.: Sierpiński-Zygmund functions that are Darboux, almost continuous, or have a perfect road. Arch. Math. Logic 37(1), 29–35 (1997). https://doi.org/10.1007/s001530050080

5. Bartoszewicz, A., Bienias, M., Gła̧b, S., Natkaniec, T., Algebraic structures in the sets of surjective functions. J. Math. Anal. Appl. 441(2), 574–585 (2016). https://doi.org/10.1016/j.jmaa.2016.04.013

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