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Introduction to Piecewise-Linear Topology
1. Polyhedra and P.L. Maps.- Basic Notation.- Joins and Cones.- Polyhedra.- Piecewise-Linear Maps.- The Standard Mistake.- P. L. Embeddings.- Manifolds.- Balls and Spheres.- The Poincare ConjectureExpand
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A Geometric Approach to Homology Theory
1. Homotopy functors 2. Mock bundles 3. Coefficients 4. Geometric theories 5. Equivariant theories and operations 6. Sheaves 7. The geometry of CW complexes.
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Trunks and classifying spaces
Trunks are objects loosely analogous to categories. Like a category, a trunk has vertices and edges (analogous to objects and morphisms), but instead of composition (which can be regarded as given byExpand
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Towards optimizing rowing technique.
An equation is developed (and solved) to describe the speed of a rowing boat as a function of the movement of the sculler's center of mass relative to the boat and the force applied. A method isExpand
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The compression theorem I
This the first of a set of three papers about the Compression Theorem: if M^m is embedded in Q^q X R with a normal vector field and if q-m > 0, then the given vector field can be straightened (ie,Expand
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The rack space
The main result of this paper is a new classification theorem for links (smooth embeddings in codimension 2). The classifying space is the rack space and the classifying bundle is the first JamesExpand
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James Bundles and Applications
SUMMARY We study cubical sets without degeneracies, which we call {sets. These sets arise naturally in a number of settings and there is a beautiful geometry associated with them; in particular aExpand
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An Introduction to Species and the Rack Space
Racks were introduced in [FR]. In this paper we define a natural category like object, called a species.* A particularly important species is associated with a rack. A species has a nerve, analogousExpand
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Self-intersections and higher Hopf invariants
IN THIS paper we show how the well known models for loop spaces of Boardman and Vogt [3], James [5], May [9], and Segal[ lo], can be viewed in a natural way as “Thorn spaces for immersions”. ThusExpand
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Problems on invariants of knots and 3-manifolds
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing open problems given inExpand
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