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Cardinality estimates for piecewise congruences of convex polygons.

Richter, Christian — 2009

Beiträge zur Algebra und Geometrie

Squaring the circle via affine congruence by dissection with smooth pieces.

Richter, Christian — 2007

Beiträge zur Algebra und Geometrie

Entropy, capacity and arrangements on the cube.

Börner, Walter; Richter, Christian — 1997

Beiträge zur Algebra und Geometrie

Squaring the circle by dissection.

Hertel, Eike; Richter, Christian — 2003

Beiträge zur Algebra und Geometrie

Linear combinations of partitions of unity with restricted supports

Christian Richter — 2002

Studia Mathematica

Given a locally finite open covering of a normal space X and a Hausdorff topological vector space E, we characterize all continuous functions f: X → E which admit a representation $f = \sum_{C \in} a_{C} φ_{C}$ with $a_{C} \in E$ and a partition of unity $φ_{C} : C \in$ subordinate to . As an application, we determine the class of all functions f ∈ C(||) on the underlying space || of a Euclidean complex such that, for each polytope P ∈ , the restriction ${f |}_{P}$ attains its extrema at vertices of P. Finally, a class of extremal functions on the metric space...

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Currently displaying 1 – 5 of 5

Cardinality estimates for piecewise congruences of convex polygons.

Squaring the circle via affine congruence by dissection with smooth pieces.

Entropy, capacity and arrangements on the cube.

Squaring the circle by dissection.

Linear combinations of partitions of unity with restricted supports