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Symplectic groups are N-determined 2-compact groups

100%

Vavpetič A., Viruel A.

Fundamenta Mathematicae

2006

tom 192

nr 2

121-139

We show that for n ≥ 3 the symplectic group Sp(n) is as a 2-compact group determined up to isomorphism by the isomorphism type of its maximal torus normalizer. This allows us to determine the integral homotopy type of Sp(n) among connected finite loop spaces with maximal torus.

An extension of Miller's version of the de Rham Theorem with any coefficients

71%

Garvín A., Lechuga L., Murillo A., Muñoz V., Viruel A.

Banach Center Publications

1998

tom 45

nr 1

169-176

In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.

Ograniczanie wyników

1 Banach Center Publications

1 Fundamenta Mathematicae

2 Viruel A.

1 Garvín A.

1 Lechuga L.

1 Murillo A.

1 Muñoz V.

1 Vavpetič A.

1 2006

1 1998

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Symplectic groups are N-determined 2-compact groups

An extension of Miller's version of the de Rham Theorem with any coefficients