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On rings of Baire one functions

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On rings of Baire one functions

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Deb Ray, A.; Mondal, A. (2019). On rings of Baire one functions. Applied General Topology. 20(1):237-249. https://doi.org/10.4995/agt.2019.10776

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Título: On rings of Baire one functions
Autor: Deb Ray, A. Mondal, Atanu
Fecha difusión:
Resumen:
[EN] This paper introduces the ring of all real valued Baire one functions, denoted by B1(X) and also the ring of all real valued bounded Baire one functions, denoted by B∗1(X). Though the resemblance between C(X) and B1(X) ...[+]
Palabras clave: B1(X) , B∗1(X) , Zero set of a Baire one function , Completely separated by B1(X) , B1-embedded , B∗1-embedded
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2019.10776
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2019.10776
Código del Proyecto:
info:eu-repo/grantAgreement/CSIR//HRDG%2F09%2F028(0998)%2F2017-EMR-1/
Agradecimientos:
The authors are thankful to Professor S. K. Acharyya, Retired Professor, Department of Pure Mathematics, University of Calcutta for his continuous support and encouragement. We also acknowledge the learned referee for his ...[+]
Tipo: Artículo

References

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J. P. Fenecios and E. A. Cabral, On some properties of Baire-1 functions, Int. Journal of Math. Analysis 7, no. 8 (2013), 393-402. https://doi.org/10.12988/ijma.2013.13035

I. Gelfand and A. Kolmogoroff, On rings of continuous functions on topological spaces, Dokl. Akad. Nauk SSSR 22 (1939), 11-15.

L. Gillman and M. Jerison, Rings of Continuous Functions, New York: Van Nostrand Reinhold Co., 1960. https://doi.org/10.1007/978-1-4615-7819-2

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M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-481. https://doi.org/10.1090/S0002-9947-1937-1501905-7

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D. Zhao, Functions whose composition with Baire class one functions are Baire class one, Soochow Journal of Mathematics 33, no. 4 (2007), 543-551.

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