Search results for "Tucker property"

showing 2 items of 2 documents

On the WGSC Property in Some Classes of Groups

2009

The property of quasi-simple filtration (or qsf) for groups has been introduced in literature more than 10 years ago by S. Brick. This is equivalent, for groups, to the weak geometric simple connectivity (or wgsc). The main interest of these notions is that there is still not known whether all finitely presented groups are wgsc (qsf) or not. The present note deals with the wgsc property for solvable groups and generalized FC-groups. Moreover, a relation between the almost-convexity condition and the Tucker property, which is related to the wgsc property, has been considered for 3-manifold groups.

Combinatoricsalmost-convex groupsProperty (philosophy)Tucker propertySimple (abstract algebra)Solvable groupGeneral MathematicsFiltration (mathematics)FC-groups and nilpotent groupSettore MAT/03 - Geometriaweak geometric simple connectivityMathematicsMediterranean Journal of Mathematics
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On the proper homotopy invariance of the Tucker property

2006

A non-compact polyhedron P is Tucker if, for any compact subset K ⊂ P, the fundamental group π1(P − K) is finitely generated. The main result of this note is that a manifold which is proper homotopy equivalent to a Tucker polyhedron is Tucker. We use Poenaru’s theory of the equivalence relations forced by the singularities of a non-degenerate simplicial map.

Fundamental groupHomotopy lifting propertyApplied MathematicsGeneral MathematicsHomotopyMathematics::Optimization and ControlhomotopyproperComputer Science::Numerical AnalysisRegular homotopyCombinatoricsn-connectedPolyhedronEquivalence relationtucker propertySimplicial mapMathematics
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