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A Survey of Tverberg Type Problems.

University of Washington.

A Survey of Tverberg Type Problems.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	A Survey of Tverberg Type Problems./
Author:	Thng, Ivana.
Description:	1 online resource (33 pages)
Notes:	Source: Masters Abstracts International, Volume: 56-03.
Contained By:	Masters Abstracts International56-03(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369693164

A Survey of Tverberg Type Problems.
Thng, Ivana.

A Survey of Tverberg Type Problems. - 1 online resource (33 pages)

Source: Masters Abstracts International, Volume: 56-03.

Thesis (M.S.)

Includes bibliographical references

Tverberg's theorem, which celebrates its fiftieth anniversary this year, is a central result in the fields of discrete geometry and topological combinatorics. Proved in 1966, it was a major step in solving questions whether, given a complex, all affine (or more generally, continuous) maps into some Euclidean space have some specified intersection property. Many other extensions and variations stem from this first result, such as the topological Tverberg conjecture and the colorful Tverberg theorem. Much work is still being done to generalize and extend Tverberg's theorem, which has resulted in several recent and major breakthroughs. Most notably, Frick's surprising counterexample to the topological Tverberg conjecture was only discovered in 2015, and the "constraint method" used to construct the counterexample lends itself to many other applications in proving different extensions of the topological Tverberg conjecture. In this thesis, we will look at some classical theorems that inspired Tverberg's theorem, the current state of affairs vis-a-vis the Tverberg conjecture, and other closely related problems.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369693164Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

A Survey of Tverberg Type Problems.
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035 $a (MiAaPQ)washington:16728
035 $a AAI10251403
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Thng, Ivana. $3 1180577
245 1 2 $a A Survey of Tverberg Type Problems.
264 0 $c 2017
300 $a 1 online resource (33 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Masters Abstracts International, Volume: 56-03.
500 $a Adviser: Isabella Novik.
502 $a Thesis (M.S.) $c University of Washington $d 2017.
504 $a Includes bibliographical references
520 $a Tverberg's theorem, which celebrates its fiftieth anniversary this year, is a central result in the fields of discrete geometry and topological combinatorics. Proved in 1966, it was a major step in solving questions whether, given a complex, all affine (or more generally, continuous) maps into some Euclidean space have some specified intersection property. Many other extensions and variations stem from this first result, such as the topological Tverberg conjecture and the colorful Tverberg theorem. Much work is still being done to generalize and extend Tverberg's theorem, which has resulted in several recent and major breakthroughs. Most notably, Frick's surprising counterexample to the topological Tverberg conjecture was only discovered in 2015, and the "constraint method" used to construct the counterexample lends itself to many other applications in proving different extensions of the topological Tverberg conjecture. In this thesis, we will look at some classical theorems that inspired Tverberg's theorem, the current state of affairs vis-a-vis the Tverberg conjecture, and other closely related problems.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Washington. $b Mathematics. $3 1179079
773 0 $t Masters Abstracts International $g 56-03(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10251403 $z click for full text (PQDT)

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