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On quasi-metric and metric spaces
Author(s):
Maciej
Paluszynski;
Krzysztof
Stempak
Journal:
Proc. Amer. Math. Soc.
137
(2009),
4307-4312.
MSC (2000):
Primary 54E35;
Secondary 54E15
Posted:
August 7, 2009
MathSciNet review:
2538591
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Abstract:
Given a space  with a quasi-metric  it is known that the so-called  -chain approach can be used to produce a metric in  equivalent to  for some  , hence also a quasi-metric  equivalent to  with better properties. We refine this result and obtain an exponent  which is, in general, optimal.
References:
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Additional Information:
Maciej
Paluszynski
Affiliation:
Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
Email:
mpal@math.uni.wroc.pl
Krzysztof
Stempak
Affiliation:
Instytut Matematyki i Informatyki, Politechnika Wrocławska, Wyb. Wyspianskiego 27, 50-370 Wrocław, Poland - and - Katedra Matematyki i Zastosowan Informatyki, Politechnika Opolska, ul. Mikołajczyka 5, 45-271 Opole, Poland
Email:
Krzysztof.Stempak@pwr.wroc.pl
DOI:
10.1090/S0002-9939-09-10058-8
PII:
S 0002-9939(09)10058-8
Keywords:
Quasi-metric,
$p$-chain approach.
Received by editor(s):
January 18, 2009,
Received by editor(s) in revised form:
May 12, 2009
Posted:
August 7, 2009
Additional Notes:
The authors' research was supported in part by grants KBN #1P03A03029 and MNiSW #N201 054 32/4285, respectively.
Communicated by:
Nigel J. Kalton
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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