WorldCat Identities

Shalen, Peter B. 1946-

Overview
Works: 5 works in 16 publications in 3 languages and 255 library holdings
Roles: Opponent, Author
Classifications: QA3, 514.224
Publication Timeline
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Most widely held works by Peter B Shalen
Seifert fibered spaces in 3-manifolds by William H Jaco( Book )

12 editions published between 1979 and 1991 in English and Undetermined and held by 215 WorldCat member libraries worldwide

Surfaces incompressibles dans le complementaire des noeuds by Luis-Miguel Lopez( Book )

1 edition published in 1984 in French and held by 3 WorldCat member libraries worldwide

We consider the following conjecture: Let M be an orientable irreducible closed 3-manifold which is not a Haken manifold; then, there exists knots in M whose exterior contains no essential closed surface. In this work, we show that this conjecture is true when M is a Seifert manifold, and in certain cases when M is obtained by surgery along alternating knots in S³. Furthermore, we show the limits of the above results by counterexamples in Haken cases, insisting on the difficulty to deal with this conjecture
Dehn surgery on knots by Marc Culler( Book )

1 edition published in 1985 in English and held by 2 WorldCat member libraries worldwide

Seifert fibered spaces in 3-manifolds by William H Jaco( Book )

1 edition published in 1979 in German and held by 1 WorldCat member library worldwide

Dendrology and its applications by Peter B Shalen( Book )

1 edition published in 1991 in English and held by 1 WorldCat member library worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.68 (from 0.67 for Seifert fi ... to 0.98 for Seifert fi ...)

Alternative Names
Peter Shalen American mathematician

Peter Shalen Amerikaans wiskundige

Peter Shalen amerikansk matematikar

Peter Shalen amerikansk matematiker

Peter Shalen US-amerikanischer Mathematiker

Languages
English (13)

German (1)

French (1)