Standard

Traight homotopy invariants. / Podkorytov, Semën.

In: Topology Proceedings, Vol. 49, 01.01.2017, p. 41-64.

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

Harvard

Podkorytov, S 2017, 'Traight homotopy invariants', Topology Proceedings, vol. 49, pp. 41-64.

APA

Podkorytov, S. (2017). Traight homotopy invariants. Topology Proceedings, 49, 41-64.

Vancouver

Podkorytov S. Traight homotopy invariants. Topology Proceedings. 2017 Jan 1;49:41-64.

Author

Podkorytov, Semën. / Traight homotopy invariants. In: Topology Proceedings. 2017 ; Vol. 49. pp. 41-64.

BibTeX

@article{66cdb2a5a0f545bbb053a837c4335833,
title = "Traight homotopy invariants",
abstract = "Let X and Y be spaces and M be an abelian group. A homotopy invariant f : [X; Y] → M is called straight if there exists a homomorphism F : L(X; Y ) → M such that f([a]) = F([a]) for all a ∈ C(X; Y ). Here {a} : {X} → {Y} is the homomorphism induced by a between the abelian groups freely generated by X and Y and L(X; Y) is a certain group of {"}admissible{"} homomorphisms. We show that all straight invariants can be expressed through a {"}universal{"} straight invariant of homological nature.",
keywords = "Homotopy invariant of finite degree, Ordinary homology",
author = "Sem{\"e}n Podkorytov",
year = "2017",
month = jan,
day = "1",
language = "English",
volume = "49",
pages = "41--64",
journal = "Topology Proceedings",
issn = "0146-4124",
publisher = "Auburn University",

}

RIS

TY - JOUR

T1 - Traight homotopy invariants

AU - Podkorytov, Semën

PY - 2017/1/1

Y1 - 2017/1/1

N2 - Let X and Y be spaces and M be an abelian group. A homotopy invariant f : [X; Y] → M is called straight if there exists a homomorphism F : L(X; Y ) → M such that f([a]) = F([a]) for all a ∈ C(X; Y ). Here {a} : {X} → {Y} is the homomorphism induced by a between the abelian groups freely generated by X and Y and L(X; Y) is a certain group of "admissible" homomorphisms. We show that all straight invariants can be expressed through a "universal" straight invariant of homological nature.

AB - Let X and Y be spaces and M be an abelian group. A homotopy invariant f : [X; Y] → M is called straight if there exists a homomorphism F : L(X; Y ) → M such that f([a]) = F([a]) for all a ∈ C(X; Y ). Here {a} : {X} → {Y} is the homomorphism induced by a between the abelian groups freely generated by X and Y and L(X; Y) is a certain group of "admissible" homomorphisms. We show that all straight invariants can be expressed through a "universal" straight invariant of homological nature.

KW - Homotopy invariant of finite degree

KW - Ordinary homology

UR - http://www.scopus.com/inward/record.url?scp=85013975863&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85013975863

VL - 49

SP - 41

EP - 64

JO - Topology Proceedings

JF - Topology Proceedings

SN - 0146-4124

ER -

ID: 49886179