Standard

On maps of a sphere to a simply connected space with finitely generated homotopy groups. / Podkorytov, S. S.

в: St. Petersburg Mathematical Journal, Том 16, № 4, 01.01.2005, стр. 719-747.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Podkorytov, SS 2005, 'On maps of a sphere to a simply connected space with finitely generated homotopy groups', St. Petersburg Mathematical Journal, Том. 16, № 4, стр. 719-747. https://doi.org/10.1090/S1061-0022-05-00876-9

APA

Podkorytov, S. S. (2005). On maps of a sphere to a simply connected space with finitely generated homotopy groups. St. Petersburg Mathematical Journal, 16(4), 719-747. https://doi.org/10.1090/S1061-0022-05-00876-9

Vancouver

Podkorytov SS. On maps of a sphere to a simply connected space with finitely generated homotopy groups. St. Petersburg Mathematical Journal. 2005 Янв. 1;16(4):719-747. https://doi.org/10.1090/S1061-0022-05-00876-9

Author

Podkorytov, S. S. / On maps of a sphere to a simply connected space with finitely generated homotopy groups. в: St. Petersburg Mathematical Journal. 2005 ; Том 16, № 4. стр. 719-747.

BibTeX

@article{ec2d6749640f4f03a494094a957b19ac,
title = "On maps of a sphere to a simply connected space with finitely generated homotopy groups",
abstract = "It is proved that the homotopy class of a map of a sphere to a simply connected CW-complex with finitely generated homotopy groups depends polynomially on the induced homomorphism of the groups of zero-dimensional singular chains.",
keywords = "CW-complex, Fundamental group, Homotopy class, Pointed set",
author = "Podkorytov, {S. S.}",
year = "2005",
month = jan,
day = "1",
doi = "10.1090/S1061-0022-05-00876-9",
language = "English",
volume = "16",
pages = "719--747",
journal = "St. Petersburg Mathematical Journal",
issn = "1061-0022",
publisher = "American Mathematical Society",
number = "4",

}

RIS

TY - JOUR

T1 - On maps of a sphere to a simply connected space with finitely generated homotopy groups

AU - Podkorytov, S. S.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - It is proved that the homotopy class of a map of a sphere to a simply connected CW-complex with finitely generated homotopy groups depends polynomially on the induced homomorphism of the groups of zero-dimensional singular chains.

AB - It is proved that the homotopy class of a map of a sphere to a simply connected CW-complex with finitely generated homotopy groups depends polynomially on the induced homomorphism of the groups of zero-dimensional singular chains.

KW - CW-complex

KW - Fundamental group

KW - Homotopy class

KW - Pointed set

UR - http://www.scopus.com/inward/record.url?scp=85009807571&partnerID=8YFLogxK

U2 - 10.1090/S1061-0022-05-00876-9

DO - 10.1090/S1061-0022-05-00876-9

M3 - Article

AN - SCOPUS:85009807571

VL - 16

SP - 719

EP - 747

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 4

ER -

ID: 49886572