|
This article is cited in 18 scientific papers (total in 18 papers)
Compacta lying in the $n$-dimensional universal Menger compactum and
having homeomorphic complements in it
A. Ch. Chigogidze
Abstract:
The concept of $n$-shape is defined for an arbitrary compactum, and it is proved that two $Z$-sets lying in the $(n+1)$-dimensional universal Menger compactum have homeomorphic complements in it precisely when their $n$-shapes are equal.
Bibliography: 15 titles.
Received: 12.06.1986
Citation:
A. Ch. Chigogidze, “Compacta lying in the $n$-dimensional universal Menger compactum and
having homeomorphic complements in it”, Mat. Sb. (N.S.), 133(175):4(8) (1987), 481–496; Math. USSR-Sb., 61:2 (1988), 471–484
Linking options:
https://www.mathnet.ru/eng/sm2622https://doi.org/10.1070/SM1988v061n02ABEH003219 https://www.mathnet.ru/eng/sm/v175/i4/p481
|
Statistics & downloads: |
Abstract page: | 265 | Russian version PDF: | 82 | English version PDF: | 6 | References: | 25 |
|