0000000000658043

AUTHOR

Corrado Tanasi

showing 8 related works from this author

On Geometric Simple Connectivity

2010

L'articolo intende dare una visione panoramica su ricerche recenti, molte delle quali sono da attribuire al V.Poenaru, sulla topologia di dimensione basse e sulla teoria geometrica dei gruppi.

Settore MAT/03 - GeometriaHandlesGSC4-dimensional manifolds quasi-simple filtration double-points presentations and (inverse)-representations of groups.
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A Group-theoretical Finiteness Theorem

2008

We start with the universal covering space $${\*M^n}$$ of a closed n-manifold and with a tree of fundamental domains which zips it $${T\longrightarrow\*M^n}$$ . Our result is that, between T and $${\* M^n}$$ , is an intermediary object, $${T\stackrel{p} {\longrightarrow} G \stackrel{F}{\longrightarrow} \*M^n}$$ , obtained by zipping, such that each fiber of p is finite and $${T\stackrel{p}{\longrightarrow}G\stackrel{F}{\longrightarrow} \*M^n}$$ admits a section.

CombinatoricsDiscrete mathematicsSection (fiber bundle)Tree (descriptive set theory)Differential geometryCovering spaceGroup (mathematics)Hyperbolic geometryGeometry and TopologyAlgebraic geometryPL-structureDeveloping mapsPartial sectionCayley 2-complexMathematics
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Some algebraic and topological properties of the nonabelian tensor product

2013

Several authors investigated the properties which are invariant under the passage from a group to its nonabelian tensor square. In the present note we study this problem from the viewpoint of the classes of groups and the methods allow us to prove a result of invariance for some geometric properties of discrete groups.

Tensor contractionNonabelian tensor productTensor product of algebrasGeneral MathematicsTensor product of Hilbert spaceshomologyTopologyAlgebraalgebraic topologyTensor productSymmetric tensorRicci decompositionwsg propertyTensor product of modulesfree productSettore MAT/03 - GeometriaTensor densityMathematics
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Some remarks on universal covers and groups

2014

We give a quick reviw of problems concerning the topological behavior of contractible covering spaces, from the point of view of the topology at infinity.

Settore MAT/03 - GeometriaUniversal covering spaces 3-manifolds.
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Some remarks on Geometric simple connectivity in dimension Four. Part A

2007

The present paper contains some complements and comments to the longer article Geometric simple connectivity in smooth four dimensional differential Topology, Part A. Its aim is to be a useful companion when reading that article,and also to help in understand how it fits into the first author’s programforthe Poincar´e conjecture.

Poincar´e conjecture.Geometric
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Smooth 4-Dimensional Thickening of Singular 2-Dimensional Complex in the non Compact Case.

2009

L'articolo estende la teoria dell'ingrossamento 4-dimensionale nel caso non-proprio.

Zipping moves prismatical cell subdivisionundrawable singularitiesSettore MAT/03 - Geometria
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On the 1-handles of the product V3XBn for a simply connected open 3-manifold V3

2013

Although \pi_1^\inftyV^3 is an obstruction for killing stably the 1-handles of an open simply connected 3-manifold V^3, one can always get rid of the 1-handles of V^3\times B^n, for high enough n, at price of a certain nonmetrizable slackening of the topology.

Dehn exhaustibilitygeometrically simply connectionquasi-simply filteredO(i) movements.Settore MAT/03 - Geometria
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A Group-Theoretical Finiteness Theorem

2007

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