3-manifold
3-sphere
A01=Lee Paul Neuwirth
Additive group
Algebraic equation
Algebraic surface
Algebraic variety
Author_Lee Paul Neuwirth
Automorphic form
Automorphism
Bilinear form
Borromean rings
Braid group
Category=PBPD
Category=PBV
Central series
Cohomological dimension
Commutative ring
Commutator subgroup
Complex Lie group
Complex manifold
Conjugacy class
Coprime integers
Coset
Cyclic group
Dedekind domain
Diagram (category theory)
Divisibility rule
Double coset
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equivalence class
Fundamental group
Generating set of a group
Graded ring
Graph product
Group ring
Group theory
Groupoid
Heegaard splitting
Holomorphic function
Homeomorphism
Homology sphere
Homomorphism
Homotopy
Homotopy group
Homotopy sphere
Hurewicz theorem
Infimum and supremum
Integer
Intersection number (graph theory)
Intersection theory
Knot group
Knot polynomial
Mapping cylinder
Mathematical induction
Meromorphic function
Multiplicative group
Permutation
Poincare conjecture
Principal ideal domain
Proportionality (mathematics)
Quotient space (topology)
Riemann surface
Seifert fiber space
Simplicial category
Spectral sequence
Subgroup
Submanifold
Surjective function
Symplectic matrix
Theorem
Torus knot
Triangle group
Variable (mathematics)
Product details
- ISBN 9780691081700
- Weight: 510g
- Dimensions: 152 x 229mm
- Publication Date: 21 Aug 1975
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds.
Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.
