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Density topology and pointwise convergence

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Density topology and pointwise convergence

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Wilczynski, W. (2003). Density topology and pointwise convergence. Applied General Topology. 4(2):509-512. https://doi.org/10.4995/agt.2003.2048

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Metadatos del ítem

Título: Density topology and pointwise convergence
Autor: Wilczynski, Wladyslaw
Fecha difusión:
Resumen:
[EN] We shall show that the space of all approximately continuous functions with the topology of pointwise convergence is not homeomorphic to its category analogue.
Palabras clave: Approximately continuous functions , I-approximately continuous functions , topology of pointwise convergence
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.2003.2048
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2003.2048
Tipo: Artículo

References

A.V. Arkhangel'skii, Prostranstwa funktsii v topologii potochechnoi skhodimosti (Spaces of functions in the topology of pointwise convergence), General topology, spaces of functions and dimension, MGU Moskva 1985 (in Russian).

T. Bartoszynski, H. Judah, Set theory. On the structure of the Real Line, A.K. Peters, Wellesley 1995.

Goffman, C., Neugebauer, C. J., & Nishiura, T. (1961). Density topology and approximate continuity. Duke Mathematical Journal, 28(4), 497-505. doi:10.1215/s0012-7094-61-02847-2 [+]
A.V. Arkhangel'skii, Prostranstwa funktsii v topologii potochechnoi skhodimosti (Spaces of functions in the topology of pointwise convergence), General topology, spaces of functions and dimension, MGU Moskva 1985 (in Russian).

T. Bartoszynski, H. Judah, Set theory. On the structure of the Real Line, A.K. Peters, Wellesley 1995.

Goffman, C., Neugebauer, C. J., & Nishiura, T. (1961). Density topology and approximate continuity. Duke Mathematical Journal, 28(4), 497-505. doi:10.1215/s0012-7094-61-02847-2

E. Lazarow, The coarsest topology of I-approximately continuous functions, Comm. Math. Univ. Carolinae 27 (1986), 695-704.

Oxtoby, J. C. (1980). Measure and Category. Graduate Texts in Mathematics. doi:10.1007/978-1-4684-9339-9

W. Poreda, E. Wagner-Bojakowska, The topology of I-approximately continuous functions, Radovi Mat. 2 (1986), 263-277.

W. Poreda, E. Wagner-Bojakowska, W. Wilczy_nski, A category analogue of the density topology Fund. Math. 125 (1985), 167-173.

Tall, F. (1976). The density topology. Pacific Journal of Mathematics, 62(1), 275-284. doi:10.2140/pjm.1976.62.275

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