Measure preserving homeomorphism of the Hilbert cube embedding the pseudo-boundary into the pseudo-interior

被引：0

作者：

Morayne, Michal ^{[1
]}

Pietron, Maciej ^{[2
]}

机构：

[1] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

[2] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2014年 / 138卷 / 07期

关键词：

Hilbert cube; Measure-preserving mapping; Pseudo-interior; Pseudo-boundary;

D O I：

10.1016/j.bulsci.2014.03.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the pseudo-boundary B(Q) of the Hilbert cube Q can be embedded into the pseudo-interior s of Q by a homeomorphism of Q that preserves the product Lebesgue measure. (C) 2014 Elsevier Masson SAS. All rights reserved.

引用

页码：860 / 869

页数：10

共 15 条

[1] ANDERSON RD, 1967, MICH MATH J, V14, P365
[2] [Anonymous], 1989, Infinite-Dimensional Topology
[3] Bennett R., 1972, Fund. Math, V74, P189
[4] Billingsley Patrick, 1999, Convergence of probability measures, V2nd
[5] Brouwer LEJ, 1913, P K AKAD WET-AMSTERD, V15, P1256
[6] A conjugated version of the countable dense homogeneity
Dobrowolski, Tadeusz
[J]. TOPOLOGY AND ITS APPLICATIONS, 2009, 156 (04) : 795 - 802
[7] Downarowicz T, COMMUNICATION
[8] HOMOGENEITY OF INFINITE PRODUCTS OF MANIFOLDS WITH BOUNDARY
FORT, MK
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1962, 12 (03) : 879 - &
[9] Analytic transformations of everywhere dense point sets
Franklin, Philip
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1925, 27 (1-4) : 91 - 100
[10] Oxtoby JC, 1944, ANN MATH, V42, P874

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