Extension and reconstruction theorems for the Urysohn universal metric space

Wiesław Kubiś; Matatyahu Rubin

doi:10.1007/s10587-010-0001-y

Extension and reconstruction theorems for the Urysohn universal metric space

Wiesław Kubiś, Matatyahu Rubin

Department of Mathematics

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

1 Scopus citations

Abstract

We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.

Original language	English
Pages (from-to)	1-29
Number of pages	29
Journal	Czechoslovak Mathematical Journal
Volume	60
Issue number	1
DOIs	https://doi.org/10.1007/s10587-010-0001-y
State	Published - 1 Mar 2010

Keywords

Bilipschitz homeomorphism
Extension theorem
Modulus of continuity
Reconstruction theorem
Urysohn space

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s10587-010-0001-y

Cite this

@article{c4a4e2d386dd4098adacc51e61548b07,

title = "Extension and reconstruction theorems for the Urysohn universal metric space",

abstract = "We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.",

keywords = "Bilipschitz homeomorphism, Extension theorem, Modulus of continuity, Reconstruction theorem, Urysohn space",

author = "Wies{\l}aw Kubi{\'s} and Matatyahu Rubin",

note = "Funding Information: This paper was supported by the Grant IAA 100 190 901 and by the Institutional Research Plan of the Academy of Sciences of Czech Republic No. AVOZ 101 905 03.",

year = "2010",

month = mar,

day = "1",

doi = "10.1007/s10587-010-0001-y",

language = "English",

volume = "60",

pages = "1--29",

journal = "Czechoslovak Mathematical Journal",

issn = "0011-4642",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Extension and reconstruction theorems for the Urysohn universal metric space

AU - Kubiś, Wiesław

AU - Rubin, Matatyahu

N1 - Funding Information: This paper was supported by the Grant IAA 100 190 901 and by the Institutional Research Plan of the Academy of Sciences of Czech Republic No. AVOZ 101 905 03.

PY - 2010/3/1

Y1 - 2010/3/1

N2 - We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.

AB - We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.

KW - Bilipschitz homeomorphism

KW - Extension theorem

KW - Modulus of continuity

KW - Reconstruction theorem

KW - Urysohn space

UR - http://www.scopus.com/inward/record.url?scp=77950404527&partnerID=8YFLogxK

U2 - 10.1007/s10587-010-0001-y

DO - 10.1007/s10587-010-0001-y

M3 - Article

AN - SCOPUS:77950404527

SN - 0011-4642

VL - 60

SP - 1

EP - 29

JO - Czechoslovak Mathematical Journal

JF - Czechoslovak Mathematical Journal

IS - 1

ER -

Extension and reconstruction theorems for the Urysohn universal metric space

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this