nerve theorem
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Nerve Theorem for Group Operads

10.1142/9789811250934_0016 ◽

2021 ◽

pp. 295-311

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Simple homotopy theory and nerve theorem for categories

Topology and its Applications ◽

10.1016/j.topol.2021.107609 ◽

2021 ◽

Vol 291 ◽

pp. 107609

Author(s):

Kohei Tanaka

Keyword(s):

Homotopy Theory ◽

Simple Homotopy ◽

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Modular operads and the nerve theorem

Advances in Mathematics ◽

10.1016/j.aim.2020.107206 ◽

2020 ◽

Vol 370 ◽

pp. 107206

Author(s):

Philip Hackney ◽

Marcy Robertson ◽

Donald Yau

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Different versions of the nerve theorem and colourful simplices

Journal of Combinatorial Theory Series A ◽

10.1016/j.jcta.2019.105125 ◽

2020 ◽

Vol 169 ◽

pp. 105125 ◽

Author(s):

Frédéric Meunier ◽

Luis Montejano

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The Cylinder of a Relation and Generalized Versions of the Nerve Theorem

Discrete & Computational Geometry ◽

10.1007/s00454-018-0028-7 ◽

2018 ◽

Vol 63 (3) ◽

pp. 549-559

Author(s):

Ximena Fernández ◽

Elías Gabriel Minian

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An Approximate Nerve Theorem

Foundations of Computational Mathematics ◽

10.1007/s10208-017-9368-6 ◽

2017 ◽

Vol 18 (5) ◽

pp. 1245-1297

Author(s):

Dejan Govc ◽

Primoz Skraba

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A variation on the Homological Nerve Theorem

Topology and its Applications ◽

10.1016/j.topol.2017.04.029 ◽

2017 ◽

Vol 225 ◽

pp. 139-144 ◽

Author(s):

Luis Montejano

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Feynman Graphs, and Nerve Theorem for Compact Symmetric Multicategories (Extended Abstract)

Electronic Notes in Theoretical Computer Science ◽

10.1016/j.entcs.2011.01.025 ◽

2011 ◽

Vol 270 (2) ◽

pp. 105-113 ◽

Author(s):

André Joyal ◽

Joachim Kock

Keyword(s):

Feynman Graphs ◽

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Triangulating Topological Spaces

International Journal of Computational Geometry & Applications ◽

10.1142/s0218195997000223 ◽

1997 ◽

Vol 07 (04) ◽

pp. 365-378 ◽

Author(s):

Herbert Edelsbrunner ◽

Nimish R. Shah

Keyword(s):

Homotopy Equivalent ◽

Topological Spaces ◽

Sufficient Condition ◽

Voronoi Cells ◽

Delaunay Complex ◽

Common Intersection ◽

Given a subspace [Formula: see text] and a finite set S⊆ℝd, we introduce the Delaunay complex, [Formula: see text], restricted by [Formula: see text]. Its simplices are spanned by subsets T⊆S for which the common intersection of Voronoi cells meets [Formula: see text] in a non-empty set. By the nerve theorem, [Formula: see text] and [Formula: see text] are homotopy equivalent if all such sets are contractible. This paper proves a sufficient condition for [Formula: see text] and [Formula: see text] be homeomorphic.

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