Computing All Maps into a Sphere

ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK, Uli WAGNER and Francis SERGEREART. Computing All Maps into a Sphere. Journal of the ACM. 2014, vol. 61, No 3, p. "neuvedeno", 44 pp. ISSN 0004-5411. Available from: https://dx.doi.org/10.1145/2597629.

Basic information

• Original name: Computing All Maps into a Sphere
• Name in Czech: Počítání všech zobrazení do sféry
• Authors: ČADEK, Martin (203 Czech Republic, belonging to the institution), Marek KRČÁL (203 Czech Republic, guarantor), Jiří MATOUŠEK (203 Czech Republic), Lukáš VOKŘÍNEK (203 Czech Republic, belonging to the institution), Uli WAGNER (40 Austria) and Francis SERGEREART (250 France).
• Edition: Journal of the ACM, 2014, 0004-5411.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 1.394
• RIV identification code: RIV/00216224:14310/14:00075900
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1145/2597629
• UT WoS: 000337201400003
• Keywords in English: Computational topology; homotopy groups; Postnikov systems
• Tags: AKR, rivok

Abstract

We give an algorithm which for given finite simplicial complexes X and Y such that the dimension of X is less than 2d-1 and Y is (d-1)-connected (d bigger than 1) computes the structure of the group [X,Y] of all homotopy classes of maps from X to Y.

Abstract (in Czech)

V práci je podán algoritmus, který počítá strukturu grupy [X,Y] homotopických zobrazení mezi simpliciálními komplexy X a Y v případě, že X má dimenzi menší než 2d-1 a Y je (d-1)-souvislý pro d větší než 1.

Links

• MSM0021622409, plan (intention): Name: Matematické struktury a jejich fyzikální aplikace

Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures and their physical applications