Symmetric products of generalized metric spaces

Christopher Good; Sergio Macias

doi:10.1016/j.topol.2016.03.019

Symmetric products of generalized metric spaces

Christopher Good, Sergio Macias

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

216 Downloads (Pure)

Abstract

We consider several generalized metric properties and study the relation between a space X satisfying such property and its n-fold symmetric product satisfying the same property.

Original language	English
Pages (from-to)	93-114
Journal	Topology and its Applications
Volume	206
Early online date	8 Apr 2016
DOIs	https://doi.org/10.1016/j.topol.2016.03.019
Publication status	Published - 15 Jun 2016

Keywords

ccc-Space
Fréchet space
Gδ-diagonal
g-Function
Generalized metric space
Hyperspace
Monotonically normal space
Stratifiable space
Symmetric product

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Good_Symmetric_Products_Generalized_Metric_Spaces_Topology_Applications_2016Accepted author manuscript, 509 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

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title = "Symmetric products of generalized metric spaces",

abstract = "We consider several generalized metric properties and study the relation between a space X satisfying such property and its n-fold symmetric product satisfying the same property.",

keywords = "ccc-Space, Fr{\'e}chet space, Gδ-diagonal, g-Function, Generalized metric space, Hyperspace, Monotonically normal space, Stratifiable space, Symmetric product",

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AU - Macias, Sergio

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AB - We consider several generalized metric properties and study the relation between a space X satisfying such property and its n-fold symmetric product satisfying the same property.

KW - ccc-Space

KW - Fréchet space

KW - Gδ-diagonal

KW - g-Function

KW - Generalized metric space

KW - Hyperspace

KW - Monotonically normal space

KW - Stratifiable space

KW - Symmetric product

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DO - 10.1016/j.topol.2016.03.019

M3 - Article

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VL - 206

SP - 93

EP - 114

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Symmetric products of generalized metric spaces

Abstract

Keywords

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