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Combinatorics of combinatorial topology

Melikhov, Sergey A....

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Combinatorics of combinatorial topology by Melikhov, Sergey A. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	21-08-2023
Summary	We develop a tighter implementation of basic PL topology, which keeps track of some combinatorial structure beyond PL homeomorphism type. With this technique we clarify some aspects of PL transversality and give combinatorial proofs of a number of known results. New results include a combinatorial characterization of collapsible polyhedra in terms of constructible posets (generalizing face posets of constructible simplicial complexes in the sense of Hochster). The relevant constructible posets are also characterized in terms of Reading's zipping of posets, which is a variation of edge contractions in simplicial complexes.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1208.6309

Citation

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AMA 11th EditionReferences

Melikhov, Sergey A.. Combinatorics of combinatorial topology. Australian National University. August 21, 2023. Accessed October 23, 2024. https://online.provdatabase.com/cite/20211

APA 7th EditionReferences

Melikhov, Sergey A.. (2023). Combinatorics of combinatorial topology. Australian National University. https://online.provdatabase.com/cite/20211

Chicago 17th EditionReferences

Melikhov, Sergey A.. Combinatorics of combinatorial topology. Australian National University. 2023. https://online.provdatabase.com/cite/20211

HarvardReferences

Melikhov, Sergey A.. (2023). Combinatorics of combinatorial topology. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/20211. (Accessed 23 October 2024).

Harvard AustraliaReferences

Melikhov, Sergey A., 2023, Combinatorics of combinatorial topology, Australian National University, viewed 23 October 2024, <https://online.provdatabase.com/cite/20211>

MLA 9th EditionWorks Cited

Melikhov, Sergey A.. Combinatorics of combinatorial topology. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/20211.

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