Title:
|
Canonical Lipschitz structures on compact Hilbert cube manifolds (English) |
Author:
|
Luukkainen, Jouni |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
26 |
Issue:
|
4 |
Year:
|
1985 |
Pages:
|
661-664 |
. |
Category:
|
math |
. |
MSC:
|
57N20 |
MSC:
|
58B05 |
idZBL:
|
Zbl 0579.57012 |
idMR:
|
MR831802 |
. |
Date available:
|
2008-06-05T21:22:51Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106405 |
. |
Reference:
|
[1] ANCEL F. D. J. W. CANNON: The locally flat approximation of cell-like embedding relations.Ann. of Math. (2) 109 (1979), 61-86. MR 0519353 |
Reference:
|
[2] CHAPMAN T. A.: Lectures on Hilbert cube manifolds.CBMS Regional Conference Series in Mathematics 28, American Mathematical Society, Providence, Rhode Island, 1976. Zbl 0347.57005, MR 0423357 |
Reference:
|
[3] GREENBERG M. J.: Lectures on algebraic topology.W. A. Benjamin, Inc., New York - Amsterdam, 1967. Zbl 0169.54403, MR 0215295 |
Reference:
|
[4] HOHTI A.: On Lipschitz homogeneity of the Hilbert cube.Trans. Amer. Math. Soc. (to appear). Zbl 0574.54025, MR 0797046 |
Reference:
|
[5] HOHTI A.: Lipschitz manifolds from Q-manifolds.manuscript. |
Reference:
|
[6] KIRBY R. C L. C. SIEBENMANN: Foundational essays on topological manifolds, smoothings, and triangulations.Annals of Mathematics Studies 88, Princeton University Press and University of Tokyo Press, Princeton, New Jersey, 1977. MR 0645390 |
Reference:
|
[7] LUUKKAINEN J. J. VAISALA: Elements of Lipschitz topology.Ann. Acad. Sci. Fenn. Ser. A I Math. 3 (1977), 85-122. MR 0515647 |
Reference:
|
[8] McSHANE E. J.: Extension of range of functions.Bull. Amer. Math. Soc. 40 (1934), 837-842. Zbl 0010.34606, MR 1562984 |
Reference:
|
[9] MOISE E. E.: Geometric topology in dimensions 2 and 3.Springer-Verlag, New York - Heidelberg - Berlin, 1-977. Zbl 0349.57001, MR 0488059 |
Reference:
|
[10] ROURKE C. P. B. J. SANDERSON: Introduction to piecewise-linear topology.Springer-Verlag, Berlin - Heidelberg - New York, 1972. MR 0350744 |
Reference:
|
[11] TUKIA P. J. VÄISÄLÄ: Lipschitz and quasiconformal approximation and extension.Ann. Acad. Sci. Fenn. Ser. A I Math. 6 (1981), 303-342. MR 0658932 |
Reference:
|
[12] VÄISÄLÄ J.: Lipschitz homeomorphisms of the Hilbert cube.Topology Appl. 11 (1980), 103-110. MR 0550877 |
Reference:
|
[13] WHITEHEAD J. H. C: Simplicial spaces, nuclei and m-groups.Proc. London Math. Soc. (2) 45 (1939), 243-327. Zbl 0022.40702 |
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