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- W4297579087 abstract "We consider $d$-dimensional simplicial complexes which can be PL embedded in the $2d$-dimensional euclidean space. In short, we show that in any such complex, for any three vertices, the intersection of the link-complexes of the vertices is linklessly embeddable in the $(2d-1)$-dimensional euclidean space. These considerations lead us to a new upper bound on the total number of $d$-simplices in an embeddable complex in $2d$-space with $n$ vertices, improving known upper bounds, for all $d geq 2$. Moreover, the bound is also true for the size of $d$-complexes linklessly embeddable in the $(2d+1)$-dimensional space." @default.
- W4297579087 created "2022-09-30" @default.
- W4297579087 creator A5046936463 @default.
- W4297579087 date "2015-12-16" @default.
- W4297579087 modified "2023-10-18" @default.
- W4297579087 title "On links of vertices in simplicial $d$-complexes embeddable in the euclidean $2d$-space" @default.
- W4297579087 doi "https://doi.org/10.48550/arxiv.1512.05164" @default.
- W4297579087 hasPublicationYear "2015" @default.
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