Standard

Density of the set of attractive compacta. / Pilyugin, S. Yu.

In: Journal of Soviet Mathematics, Vol. 37, No. 3, 05.1987, p. 1149-1153.

Research output: Contribution to journal › Article › peer-review

Harvard

Pilyugin, SY 1987, 'Density of the set of attractive compacta', Journal of Soviet Mathematics, vol. 37, no. 3, pp. 1149-1153. https://doi.org/10.1007/BF01086640

APA

Pilyugin, S. Y. (1987). Density of the set of attractive compacta. Journal of Soviet Mathematics, 37(3), 1149-1153. https://doi.org/10.1007/BF01086640

Vancouver

Pilyugin SY. Density of the set of attractive compacta. Journal of Soviet Mathematics. 1987 May;37(3):1149-1153. https://doi.org/10.1007/BF01086640

Author

Pilyugin, S. Yu. / Density of the set of attractive compacta. In: Journal of Soviet Mathematics. 1987 ; Vol. 37, No. 3. pp. 1149-1153.

BibTeX

@article{f82086730a4048a1947a3dce0af4edcd,
title = "Density of the set of attractive compacta",
abstract = "A compact set K in a smooth closed manifold M is said to be attractive, if on M there exists a system of differential equations, for which K is an asymptotically stable invariant set. It is proved that the set of attractive compacta is dense and its complement contains a dense set of type Gδ in the space of all compacta of the manifold M endowed with two natural topologies.",
author = "Pilyugin, {S. Yu}",
year = "1987",
month = may,
doi = "10.1007/BF01086640",
language = "English",
volume = "37",
pages = "1149--1153",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Density of the set of attractive compacta

AU - Pilyugin, S. Yu

PY - 1987/5

Y1 - 1987/5

N2 - A compact set K in a smooth closed manifold M is said to be attractive, if on M there exists a system of differential equations, for which K is an asymptotically stable invariant set. It is proved that the set of attractive compacta is dense and its complement contains a dense set of type Gδ in the space of all compacta of the manifold M endowed with two natural topologies.

AB - A compact set K in a smooth closed manifold M is said to be attractive, if on M there exists a system of differential equations, for which K is an asymptotically stable invariant set. It is proved that the set of attractive compacta is dense and its complement contains a dense set of type Gδ in the space of all compacta of the manifold M endowed with two natural topologies.

UR - http://www.scopus.com/inward/record.url?scp=34250107249&partnerID=8YFLogxK

U2 - 10.1007/BF01086640

DO - 10.1007/BF01086640

M3 - Article

AN - SCOPUS:34250107249

VL - 37

SP - 1149

EP - 1153

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 92250054