Homogeneously wild curves and infinite knot products
Shift spaces and attractors in noninvertible horseshoes
As is well known, a horseshoe map, i.e. a special injective reimbedding of the unit square in (or more generally, of the cube in ) as considered first by S. Smale [5], defines a shift dynamics on the maximal invariant subset of (or ). It is shown that this remains true almost surely for noninjective maps provided the contraction rate of the mapping in the stable direction is sufficiently strong, and bounds for this rate are given.
Zur Lage null- und eindimensionaler Punktmengen im
Ein homogen-wilder Knoten
Ein eindimensionales Kompaktum in , das sich nicht lagetreu in die Mengersche Universalkurve einbetten läβt
Universalmengen bezüglich der Lage im
A wildly embedded 1-dimensional compact set in each of whose components is tame
Eine Einbettung m-dimensionaler Mengen in einen (m+ 1)- dimensionalen absoluten Retrakt
Eine fixierte Kurve in
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