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Remarks on the finite derived set property

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Remarks on the finite derived set property

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Bella, A. (2005). Remarks on the finite derived set property. Applied General Topology. 6(1):101-106. https://doi.org/10.4995/agt.2005.1958

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Título: Remarks on the finite derived set property
Autor: Bella, Angelo
Fecha difusión:
Resumen:
[EN] The finite derived set property asserts that any infinite subset of a space has an infinite subset with only finitely many accumulation points. Among other things, we study this property in the case of a function space ...[+]
Palabras clave: Accumulation points , Urysohn spaces , Product , Function spaces
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.2005.1958
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2005.1958
Tipo: Artículo

References

O. T. Alas, M. Tkachenko, V. Tkachuk and R. Wilson The FDS-property and the spaces in which compact sets are closed, Sci. Math. Japan, to appear.

O. T. Alas and R. G. Wilson, When a compact space is sequentially compact?, preprint. A. V. Arhangel′skii, "Topological Function Spaces", Kluwer Academic Publishers, Dordrecht (1992)

Bella, A., & Pavlov, O. I. (2004). Embeddings into pseudocompact spaces of countable tightness. Topology and its Applications, 138(1-3), 161-166. doi:10.1016/j.topol.2003.03.001 [+]
O. T. Alas, M. Tkachenko, V. Tkachuk and R. Wilson The FDS-property and the spaces in which compact sets are closed, Sci. Math. Japan, to appear.

O. T. Alas and R. G. Wilson, When a compact space is sequentially compact?, preprint. A. V. Arhangel′skii, "Topological Function Spaces", Kluwer Academic Publishers, Dordrecht (1992)

Bella, A., & Pavlov, O. I. (2004). Embeddings into pseudocompact spaces of countable tightness. Topology and its Applications, 138(1-3), 161-166. doi:10.1016/j.topol.2003.03.001

VAN DOUWEN, E. K. (1984). The Integers and Topology. Handbook of Set-Theoretic Topology, 111-167. doi:10.1016/b978-0-444-86580-9.50006-9

R. Engelking, "General Topology" Heldermann-Verlag, Berlin (1989).

P. Simon, Product of sequentially compact spaces, Rend. Ist. Mat. Univ. Trieste 25 (1994), 447–450.

D. Shakmatov, M. Tkachenko and R. Wilson, Transversal and T1-independent topologies, Houston J. Math. 30 (2004), 421–433.

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