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A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2871277770

A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

About this item

Full title

A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

Author / Creator

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

Journal title

Combinatorica (Budapest. 1981), 2023-10, Vol.43 (5), p.953-962

Language

English

Formats

Publication information

Publisher

Berlin/Heidelberg: Springer Berlin Heidelberg

More information

Scope and Contents

Contents

Despite a full characterization of the face vectors of simple and simplicial polytopes, the face numbers of general polytopes are poorly understood. Around 1997, Bárány asked whether for all convex
d
-polytopes
P
and all
0

k

d
-
1
,
f
k
(
P
)

min
{
f
0
(
P
)
,
f<...

Alternative Titles

Full title

A Positive Answer to Bárány’s Question on Face Numbers of Polytopes

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2871277770

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2871277770

Other Identifiers

ISSN

0209-9683

E-ISSN

1439-6912

DOI

10.1007/s00493-023-00042-7

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