Bootstrapping Kirszbraun's extension theorem

Eva Kopecká. "Bootstrapping Kirszbraun's extension theorem." Fundamenta Mathematicae 217.1 (2012): 13-19. <http://eudml.org/doc/282612>.

@article{EvaKopecká2012,
abstract = {We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.},
author = {Eva Kopecká},
journal = {Fundamenta Mathematicae},
keywords = {Lipschitz mapping; extension; homotopy; lower semicontinuous multivalued mapping; Michael selection theorem},
language = {eng},
number = {1},
pages = {13-19},
title = {Bootstrapping Kirszbraun's extension theorem},
url = {http://eudml.org/doc/282612},
volume = {217},
year = {2012},
}

TY - JOUR
AU - Eva Kopecká
TI - Bootstrapping Kirszbraun's extension theorem
JO - Fundamenta Mathematicae
PY - 2012
VL - 217
IS - 1
SP - 13
EP - 19
AB - We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.
LA - eng
KW - Lipschitz mapping; extension; homotopy; lower semicontinuous multivalued mapping; Michael selection theorem
UR - http://eudml.org/doc/282612
ER -