Displaying similar documents to “Homeomorphic neighborhoods in μ n + 1 -manifolds”

Generalized S -space-forms

Alicia Prieto-Martín, Luis M. Fernández, Ana M. Fuentes (2013)

Publications de l'Institut Mathématique

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Nielsen theory of transversal fixed point sets (with an appendix: C ∞ and C0 fixed point sets are the same, by R. E. Greene)

Helga Schirmer (1992)

Fundamenta Mathematicae

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Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of...

The topology of the Banach–Mazur compactum

Sergey Antonyan (2000)

Fundamenta Mathematicae

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Let J(n) be the hyperspace of all centrally symmetric compact convex bodies A ⊆ ℝ n , n ≥ 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained in A (the John ellipsoid). Let J 0 ( n ) be the complement of the unique O(n)-fixed point in J(n). We prove that: (1) the Banach-Mazur compactum BM(n) is homeomorphic to the orbit space J(n)/O(n) of the natural action of the orthogonal group O(n) on J(n); (2) J(n) is an O(n)-AR; (3) J 0 ( 2 ) / S O ( 2 ) is an Eilenberg-MacLane space 𝐊 ( ℚ , 2 ) ; (4)...