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Aspects of the Borsuk–Ulam theorem
This is a largely expository account of various aspects of the Borsuk–Ulam theorem, including extensions of the classical theorem to families of maps...
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Obstruction theory on 8-manifolds
This paper gives a uniform, self-contained, and fairly direct approach to a variety of obstruction-theoretic problems on 8-manifolds. We give...
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The degree of maps of free G-manifolds
Suppose that M and N are orientable, closed, connected manifolds with free actions of compact Lie groups G and H of the same dimension, and suppose...
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The degree of maps of free G-manifolds and the average
Suppose that G is a compact Lie group, M and N are orientable, free G -manifolds and f : M → N is an equivariant map. We show that the degree of f ...
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Classifying spaces of Kač-Moody groups
We study the structure of classifying spaces of Kač-Moody groups from a homotopy theoretic point of view. They behave in many respects as in the...
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Double Covers of Pseudo-orthogonal Groups
For every pair (m, n) of non-negative integers one defines E m,n to be the group of equivalence classes of central...
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A note on nonstable monomorphisms¶of vector bundles
In this paper we consider the question of the existence of a nonstable vector bundle monomorphism u :α→β over a closed, connected and smooth manifold M ...
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The representation ring of a compact Lie group revisited
We describe a new construction of the induction homomorphism for representation rings of compact Lie groups: a homomorphism first defined by Graeme...
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A Counter-example to a Conjecture of Cohen
Let G be a finite p-superperfect group. A conjecture of F. Cohen suggests that...
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