Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301965833> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4301965833 abstract "We study lower bounds for the number of vertices in a PL-triangulation of a given manifold $M$. While most of the previous estimates are based on the dimension and the connectivity of $M$, we show that further information can be extracted by studying the structure of the fundamental group of $M$ and applying techniques from the Lusternik-Schnirelmann category theory. In particular, we prove that every PL-triangulation of a $d$-dimensional manifold ($dge 3$) whose fundamental group is not free has at least $3d+1$ vertices. As a corollary, every $d$-dimensional ($mathbb{Z}_p$-)homology sphere that admits a PL-triangulation with less than $3d$ vertices is homeomorphic to $S^d$. Another important consequence is that every triangulation with small links of $M$ is combinatorial." @default.
- W4301965833 created "2022-10-06" @default.
- W4301965833 creator A5009276641 @default.
- W4301965833 date "2018-01-15" @default.
- W4301965833 modified "2023-09-25" @default.
- W4301965833 title "Triangulations with few vertices of manifolds with non-free fundamental group" @default.
- W4301965833 doi "https://doi.org/10.48550/arxiv.1801.05069" @default.
- W4301965833 hasPublicationYear "2018" @default.
- W4301965833 type Work @default.
- W4301965833 citedByCount "0" @default.
- W4301965833 crossrefType "posted-content" @default.
- W4301965833 hasAuthorship W4301965833A5009276641 @default.
- W4301965833 hasBestOaLocation W43019658331 @default.
- W4301965833 hasConcept C104317684 @default.
- W4301965833 hasConcept C114614502 @default.
- W4301965833 hasConcept C121332964 @default.
- W4301965833 hasConcept C127413603 @default.
- W4301965833 hasConcept C135981907 @default.
- W4301965833 hasConcept C159876591 @default.
- W4301965833 hasConcept C165525559 @default.
- W4301965833 hasConcept C185592680 @default.
- W4301965833 hasConcept C2524010 @default.
- W4301965833 hasConcept C2780012671 @default.
- W4301965833 hasConcept C2781311116 @default.
- W4301965833 hasConcept C33676613 @default.
- W4301965833 hasConcept C33923547 @default.
- W4301965833 hasConcept C529865628 @default.
- W4301965833 hasConcept C55493867 @default.
- W4301965833 hasConcept C62520636 @default.
- W4301965833 hasConcept C78519656 @default.
- W4301965833 hasConceptScore W4301965833C104317684 @default.
- W4301965833 hasConceptScore W4301965833C114614502 @default.
- W4301965833 hasConceptScore W4301965833C121332964 @default.
- W4301965833 hasConceptScore W4301965833C127413603 @default.
- W4301965833 hasConceptScore W4301965833C135981907 @default.
- W4301965833 hasConceptScore W4301965833C159876591 @default.
- W4301965833 hasConceptScore W4301965833C165525559 @default.
- W4301965833 hasConceptScore W4301965833C185592680 @default.
- W4301965833 hasConceptScore W4301965833C2524010 @default.
- W4301965833 hasConceptScore W4301965833C2780012671 @default.
- W4301965833 hasConceptScore W4301965833C2781311116 @default.
- W4301965833 hasConceptScore W4301965833C33676613 @default.
- W4301965833 hasConceptScore W4301965833C33923547 @default.
- W4301965833 hasConceptScore W4301965833C529865628 @default.
- W4301965833 hasConceptScore W4301965833C55493867 @default.
- W4301965833 hasConceptScore W4301965833C62520636 @default.
- W4301965833 hasConceptScore W4301965833C78519656 @default.
- W4301965833 hasLocation W43019658331 @default.
- W4301965833 hasLocation W43019658332 @default.
- W4301965833 hasLocation W43019658333 @default.
- W4301965833 hasOpenAccess W4301965833 @default.
- W4301965833 hasPrimaryLocation W43019658331 @default.
- W4301965833 hasRelatedWork W1518168995 @default.
- W4301965833 hasRelatedWork W1997011874 @default.
- W4301965833 hasRelatedWork W2014878449 @default.
- W4301965833 hasRelatedWork W2017331178 @default.
- W4301965833 hasRelatedWork W2082455413 @default.
- W4301965833 hasRelatedWork W2093693192 @default.
- W4301965833 hasRelatedWork W2094313396 @default.
- W4301965833 hasRelatedWork W2782790624 @default.
- W4301965833 hasRelatedWork W2971606148 @default.
- W4301965833 hasRelatedWork W4302323194 @default.
- W4301965833 isParatext "false" @default.
- W4301965833 isRetracted "false" @default.
- W4301965833 workType "article" @default.