How many simplices are needed to triangulate a Grassmannian?

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How many simplices are needed to triangulate a Grassmannian?

Govc, Dejan ; Marzantowicz, Wacław, 1950- ; Pavešić, Petar

V članku uporabimo pred kratkim razvite metode za določanje spodnjih ocen za število simpleksov, ki so potrebni za triangulacijo Grassmannovih mnogoterosti. Najprej ocenimo število oglišč, ki so ... potrebne za triangulacijo, zlasti za podprostore dimenzij 2, 3 in 4. Nato uporabimo Barnettejev izrek o spodnji meji za oceno števila oglišč v vseh dimenzijah. Za vrhnje dimenzije uporabimo pred kratkim dokazan posplošeni izrek o spodnji meji in med ostalim pokažemo, da število potrebnih simpleksov narašča eksponentno.

Source: Topological Methods in Nonlinear Analysis. - ISSN 1230-3429 (Vol. 56, no. 2, Dec. 2020, str. 501-518)

Type of material - article, component part ; adult, serious

Publish date - 2020

Language - english

COBISS.SI-ID - 47004931

Link(s):
http://dx.doi.org/10.12775/TMNA.2020.027
DOI

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Author
Govc, Dejan | Marzantowicz, Wacław, 1950- | Pavešić, Petar

Topics
minimal triangulation | Grassmann manifold | cup-length | lower bound theorem | manifold g-theorem

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source: Topological Methods in Nonlinear Analysis. - ISSN 1230-3429 (Vol. 56, no. 2, Dec. 2020, str. 501-518)

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Year	Impact factor		Edition		Category		Classification
Year	JCR	SNIP	JCR	SNIP	JCR	SNIP	JCR	SNIP

Links to authors' personal bibliographies	Links to information on researchers in the SICRIS system
Govc, Dejan	35587
Marzantowicz, Wacław, 1950-
Pavešić, Petar	10768

Source: Personal bibliographies and: SICRIS

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