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On complete accumulation points of discrete subsets

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On complete accumulation points of discrete subsets

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Alas, OT.; Wilson, RG. (2007). On complete accumulation points of discrete subsets. Applied General Topology. 8(2):273-281. https://doi.org/10.4995/agt.2007.1893

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Título: On complete accumulation points of discrete subsets
Autor: Alas, Ofelia T. Wilson, Richard G.
Fecha difusión:
Resumen:
[EN] We introduce a class of spaces in which every discretesubset has a complete accumulation point. Properties of this classare obtained and consistent examples are given to show that this classdiffers from the ...[+]
Palabras clave: Discrete subse , Complete accumulation point , Compact space , Countably compact space , Discretely complete space , US-space
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.2007.1893
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2007.1893
Código del Proyecto:
info:eu-repo/grantAgreement/CONACyT//38164-E/
Agradecimientos:
Research supported by Consejo Nacional de Ciencia y Tecnolog´ıa (M´exico), grant 38164-E and Funda¸c˜ao de Amparo a Pesquisa do Estado de S˜ao Paulo (Brasil)
Tipo: Artículo

References

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V. Fedorcuk, On the cardinality of hereditarily separable compact Hausdorff spaces, Soviet Math. Doklady 16 (1975), 651–655. [+]
O. T. Alas and R. G. Wilson, Minimal properties between T1 and T2, Houston J. Math. 32, no. 2 (2006), 493–504.

R. Engelking, General Topology, Heldermann Verlag, Berlin 1989.

V. Fedorcuk, On the cardinality of hereditarily separable compact Hausdorff spaces, Soviet Math. Doklady 16 (1975), 651–655.

Gillman, L., & Jerison, M. (1960). Rings of Continuous Functions. doi:10.1007/978-1-4615-7819-2

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Van MILL, J. (1984). An Introduction to βω. Handbook of Set-Theoretic Topology, 503-567. doi:10.1016/b978-0-444-86580-9.50014-8

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M. E. Rudin, Lectures on Set Theoretic Topology, CBMS, Regional Conference Series in Mathematics, No. 23, A. M. S., Providence, 1975.

STEPHENSON, R. M. (1984). Initially κ-Compact and Related Spaces. Handbook of Set-Theoretic Topology, 603-632. doi:10.1016/b978-0-444-86580-9.50016-1

A. Tamariz and R. G. Wilson, Example of a T1 topological space without a Noetherian base, Proceedings A.M.S. 104, no. 1 (1988), 310–312.

V. V. Tkachuk, Spaces that are projective with respect to classes of mappings, Trans. Moscow Math. Soc. 50 (1988), 139–156.

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