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Extension of Lipschitz mappings on metric trees

Jiří Matoušek

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 99-104
  • ISSN: 0010-2628

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Matoušek, Jiří. "Extension of Lipschitz mappings on metric trees." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 99-104. <http://eudml.org/doc/17812>.

@article{Matoušek1990,
author = {Matoušek, Jiří},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lipschitz mapping; extension problem; tree metric space},
language = {eng},
number = {1},
pages = {99-104},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extension of Lipschitz mappings on metric trees},
url = {http://eudml.org/doc/17812},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Matoušek, Jiří
TI - Extension of Lipschitz mappings on metric trees
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 99
EP - 104
LA - eng
KW - Lipschitz mapping; extension problem; tree metric space
UR - http://eudml.org/doc/17812
ER -

References

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  1. P. Buneman, A note on metric properties of trees, J. Comb. Theory Ser. B 17 (1974), 48-50. (1974) MR0363963
  2. A. W. M. Dress, Trees, tight extensions of metric spaces, and the cohomological dimension of certain groups: a note on combinatorial properties of metric spaces, Adv. in Math. 53 (1984), 321-402. (1984) Zbl0562.54041MR0753872
  3. R. Engelking, General Topology, PWN Warszawa 1977. (1977) Zbl0373.54002MR0500780
  4. B. Grünbaum, Projection constants, Trans. Amer. Math. Soc. 95 (1960), 451-465. (1960) MR0114110
  5. W. Johnson J. Lindenstrauss, Extensions of Lipschitz maps into a Hilbert space, Contemp. Math. 26 (1984), 189-206. (1984) MR0737400
  6. W. B. Johnson J. Lindenstrauss G. Schechtman, Extensions of Lipschitz maps into Banach spaces, Israel J. Math. 54 (1986), 129-138. (1986) MR0852474
  7. J. Lindenstrauss, On nonlinear projections in Banach spaces, Michigan Math. J. 11 (1964), 268-287. (1964) Zbl0195.42803MR0167821
  8. J. H. Wells L. R. Williams, Embeddings and Extensions in Analysis, Springer-Verlag 1975. (1975) MR0461107

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