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Order of a function on the bruschlinsky group. / Podkorytov, S. S.

In: Journal of Mathematical Sciences , Vol. 110, No. 4, 01.01.2002, p. 2882-2885.

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

Harvard

Podkorytov, SS 2002, 'Order of a function on the bruschlinsky group', Journal of Mathematical Sciences , vol. 110, no. 4, pp. 2882-2885. https://doi.org/10.1023/A:1015322917311

APA

Podkorytov, S. S. (2002). Order of a function on the bruschlinsky group. Journal of Mathematical Sciences , 110(4), 2882-2885. https://doi.org/10.1023/A:1015322917311

Vancouver

Podkorytov SS. Order of a function on the bruschlinsky group. Journal of Mathematical Sciences . 2002 Jan 1;110(4):2882-2885. https://doi.org/10.1023/A:1015322917311

Author

Podkorytov, S. S. / Order of a function on the bruschlinsky group. In: Journal of Mathematical Sciences . 2002 ; Vol. 110, No. 4. pp. 2882-2885.

BibTeX

@article{87c483f05e384440844d28f5cb275afb,
title = "Order of a function on the bruschlinsky group",
abstract = "For an arbitrary function F defined on the group of homotopy classes of mappings of a finite polyhedron X to the circle and taking values in an Abelian group Q, the notion of order is defined. The order ord F is compared with the algebraic degree of F. It is proved that ord F Sj deg F and deg F Sj dim X ord F. The inequality ord F -4 deg F is proved in the case where Q is torsion-free or ord F 1.",
author = "Podkorytov, {S. S.}",
year = "2002",
month = jan,
day = "1",
doi = "10.1023/A:1015322917311",
language = "English",
volume = "110",
pages = "2882--2885",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Order of a function on the bruschlinsky group

AU - Podkorytov, S. S.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - For an arbitrary function F defined on the group of homotopy classes of mappings of a finite polyhedron X to the circle and taking values in an Abelian group Q, the notion of order is defined. The order ord F is compared with the algebraic degree of F. It is proved that ord F Sj deg F and deg F Sj dim X ord F. The inequality ord F -4 deg F is proved in the case where Q is torsion-free or ord F 1.

AB - For an arbitrary function F defined on the group of homotopy classes of mappings of a finite polyhedron X to the circle and taking values in an Abelian group Q, the notion of order is defined. The order ord F is compared with the algebraic degree of F. It is proved that ord F Sj deg F and deg F Sj dim X ord F. The inequality ord F -4 deg F is proved in the case where Q is torsion-free or ord F 1.

UR - http://www.scopus.com/inward/record.url?scp=52649133518&partnerID=8YFLogxK

U2 - 10.1023/A:1015322917311

DO - 10.1023/A:1015322917311

M3 - Article

AN - SCOPUS:52649133518

VL - 110

SP - 2882

EP - 2885

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 49886836