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In questo articolo studiamo i gruppi $Θ_{h}^{F}$ di una sfera $S^{n}$ e proviamo che il gruppo $Θ_{n}^{F} (S^{n}, x_{0})$ è isomorfo all'ennesimo gruppo di omotopia di $(S^{n}, x_{0})$ , nell'ipotesi che $F$ sia una classe coconnessa di links ammissibili.

On the non-invariance of span and immersion co-dimension for manifolds

Diarmuid J. Crowley, Peter D. Zvengrowski (2008)

Archivum Mathematicum

In this note we give examples in every dimension $m \geq 9$ of piecewise linearly homeomorphic, closed, connected, smooth $m$ -manifolds which admit two smoothness structures with differing spans, stable spans, and immersion co-dimensions. In dimension $15$ the examples include the total spaces of certain $7$ -sphere bundles over $S^{8}$ . The construction of such manifolds is based on the topological variance of the second Pontrjagin class: a fact which goes back to Milnor and which was used by Roitberg to give examples...

On the topological structure of compact 5-manifolds

Alberto Cavicchioli, Fulvia Spaggiari (1993)

Commentationes Mathematicae Universitatis Carolinae

We classify the genus one compact (PL) 5-manifolds and prove some results about closed 5-manifolds with free fundamental group. In particular, let $M$ be a closed connected orientable smooth $5$ -manifold with free fundamental group. Then we prove that the number of distinct smooth $5$ -manifolds homotopy equivalent to $M$ equals the $2$ -nd Betti number (mod $2$ ) of $M$ .

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A topological resolution theorem

Algebraic Equations for a Class of P.L.Spaces.

An invariant of tangle cobordisms via subquotients of arc rings

Effectiveness - non effectiveness in semialgebraic and PL geometry.

Extending Combinatorial PL Structures on Stratified Spaces.

Geometrie Classification of Simplicial Structures on Topologieal Manifolds.

Hauptvermutung et triangulation des variétés

Intersection homology Poincaré spaces and the characteristic variety theorem.

Manifolds with a special type of conelike singularities.

On bundles over a sphere with fibre Euclidean space

On the groups $Θ_{n}^{F}$ of a sphere

On the non-invariance of span and immersion co-dimension for manifolds

On the topological structure of compact 5-manifolds

The Hauptvermutung for $C^{\infty}$ homeomorphisms II. A proof valid for open 4-manifolds

The homeomorphism group of a three-dimensional polyhedron is locally contractible

The Signature Defect and the Homotopy of BPL and PL/O

The Topological-Euclidean Space Form Problem.

Классификация квартик, имеющих непростую особую точку.II.

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