Manifolds with small topological complexity

Abstract

V delu obravnavamo sklenjene mnogoterosti, ki imajo topološko kompleksnost največ ▫$3$▫ in karakteriziramo njihove kohomološke kolobarje. Za nekatere od dopustnih kohomoloških kolobarjev podamo tudi pripadajoče mnogoterosti do homeomorfizma natančno.

Keywords

topological complexity;Lusternik–Schnirelmann category;closed manifold;zero-divisor cup length;

Data

Language:	English
Year of publishing:	2024
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	515.1
COBISS:	206513667
ISSN:	1472-2747
Views:	1024
Downloads:	70
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	Mnogoterosti, ki imajo nizko topološko kompleksnost
Secondary abstract:	We study closed orientable manifolds whose topological complexity is at most ▫$3$▫ and determine their cohomology rings. For some of the admissible cohomology rings we are also able to identify corresponding manifolds up to a homeomorphism.
Type (COBISS):	Article
Pages:	str. 1713-1723
Volume:	ǂVol. ǂ24
Issue:	ǂiss. ǂ3
Chronology:	2024
DOI:	10.2140/agt.2024.24.1713
ID:	24920779