2-Knots and their Groups - Jonathan Hillman

2-Knots and their Groups

Buch | Softcover
176 Seiten
1989
Cambridge University Press (Verlag)
978-0-521-37812-3 (ISBN)
46,10 inkl. MwSt
To attack certain problems in 4-dimensional knot theory the author draws on a variety of techniques, focusing on knots in S^T4, whose fundamental groups contain abelian normal subgroups. Their class contains the most geometrically appealing and best understood examples. Moreover, it is possible to apply work in algebraic methods to these problems. Work in four-dimensional topology is applied in later chapters to the problem of classifying 2-knots.

1. Knots and Related Manifolds; 2. The Knot Group; 3. Localization and Asphericity; 4. The Rank 1 Case; 5. The Rank 2 Case; 6. Ascending Series and the Large Rank Cases; 7. The Homotopy Type of M(K); 8. Applying Surgery to Determine the Knot.

Erscheint lt. Verlag 30.3.1989
Reihe/Serie Australian Mathematical Society Lecture Series
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 435 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-521-37812-5 / 0521378125
ISBN-13 978-0-521-37812-3 / 9780521378123
Zustand Neuware
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