An $n$-dimensional analogue of a theorem of H. Weyl

Walter Philipp

Displaying similar documents to “An $n$ -dimensional analogue of a theorem of H. Weyl”

Matrix divisors of mI

Edward Spence (1972)

Acta Arithmetica

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Strong surjectivity of mappings of some 3-complexes into $M_{Q_{8}}$

Claudemir Aniz (2008)

Open Mathematics

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Let K be a CW-complex of dimension 3 such that H 3(K;ℤ) = 0 and $M_{Q_{8}}$ the orbit space of the 3-sphere $𝕊^{3}$ with respect to the action of the quaternion group Q 8 determined by the inclusion Q 8 ⊆ $𝕊^{3}$ . Given a point a ∈ $M_{Q_{8}}$ , we show that there is no map f:K → $M_{Q_{8}}$ which is strongly surjective, i.e., such that MR[f,a]=min(g −1(a))|g ∈ [f] ≠ 0.