New results regarding the lattice of uniform topologies on C(X)

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Pichardo-MendozaRios-Herrejon - New results regarding the lattice of uniform topologies on CX.pdf (525.25 KB)

Fecha

2023-04-05

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https://riunet.upv.es/handle/10251/193027

Cita bibliográfica

Pichardo-Mendoza, R.; Ríos-Herrejón, A. (2023). New results regarding the lattice of uniform topologies on C(X). Applied General Topology. 24(1):169-185. https://doi.org/10.4995/agt.2023.18738

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Resumen

[EN] For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 (2021), 65-71. In the present paper we continue the study of UX. To be specific, the present paper deals, in its first half, with structural and categorical properties of UX, while in its second part focuses on cardinal characteristics of the lattice and how these relate to some cardinal functions of the space X.

Palabras clave

Lattice of uniform topologies, Tychonoff spaces, Order-isomorphisms, Cardinal characteristics

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2023.18738

Versión del editor

https://doi.org/10.4995/agt.2023.18738

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Applied General Topology - Vol 24, No 1 (2023)