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A nice acyclic matching on the nerve of ...

Donau, Ralf...

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A nice acyclic matching on the nerve of the partition lattice by Donau, Ralf ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	The author has already proven that the space $\Delta(\Pi_n)/G$ is homotopy equivalent to a wedge of spheres of dimension $n-3$ for all natural numbers $n\geq 3$ and all subgroups $G\subset S_1\times S_{n-1}$. We construct an $S_1\times S_{n-1}$-equivariant acyclic matching on $\Delta(\Pi_n)$ together with a description of its critical simplices. This is also a more elementary approach to determining the number of spheres. We also develop new methods for Equivariant Discrete Morse Theory by adapting the Patchwork Theorem and poset maps with small fibers from Discrete Morse Theory.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1204.2693

Citation

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AMA 11th EditionReferences

Donau, Ralf. A nice acyclic matching on the nerve of the partition lattice. Australian National University. August 11, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/15868

APA 7th EditionReferences

Donau, Ralf. (2023). A nice acyclic matching on the nerve of the partition lattice. Australian National University. https://online.provdatabase.com/cite/15868

Chicago 17th EditionReferences

Donau, Ralf. A nice acyclic matching on the nerve of the partition lattice. Australian National University. 2023. https://online.provdatabase.com/cite/15868

HarvardReferences

Donau, Ralf. (2023). A nice acyclic matching on the nerve of the partition lattice. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15868. (Accessed 01 October 2025).

Harvard AustraliaReferences

Donau, Ralf, 2023, A nice acyclic matching on the nerve of the partition lattice, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/15868>

MLA 9th EditionWorks Cited

Donau, Ralf. A nice acyclic matching on the nerve of the partition lattice. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15868.

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