Topologies on homeomorphism spaces of certain metric spaces

Jiagang Ren; Xicheng Zhang

doi:10.1016/j.jmaa.2005.05.019

Topologies on homeomorphism spaces of certain metric spaces

Jiagang Ren, Xicheng Zhang^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

A new proof for the equivalence of several topologies on homeomorphism groups over certain metric spaces X is given, which is based on the metric of X.

Original language	English
Pages (from-to)	32-36
Number of pages	5
Journal	Journal of Mathematical Analysis and Applications
Volume	318
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.05.019
Publication status	Published - 1 Jun 2006
Externally published	Yes

Keywords

Compact open topology
Continuum
Homeomorphism space
Metric space

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Ren, J., & Zhang, X. (2006). Topologies on homeomorphism spaces of certain metric spaces. Journal of Mathematical Analysis and Applications, 318(1), 32-36. https://doi.org/10.1016/j.jmaa.2005.05.019

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title = "Topologies on homeomorphism spaces of certain metric spaces",

abstract = "A new proof for the equivalence of several topologies on homeomorphism groups over certain metric spaces X is given, which is based on the metric of X.",

keywords = "Compact open topology, Continuum, Homeomorphism space, Metric space",

author = "Jiagang Ren and Xicheng Zhang",

year = "2006",

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doi = "10.1016/j.jmaa.2005.05.019",

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KW - Metric space

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Topologies on homeomorphism spaces of certain metric spaces

Abstract

Keywords

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