Determination of the topological structure of an orbifold by its group of orbifold diffeomorphisms.
Borzellino, Joseph E., Brunsden, Victor (2003)
Journal of Lie Theory
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Borzellino, Joseph E., Brunsden, Victor (2003)
Journal of Lie Theory
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Nhu Nguyen, Katsuro Sakai (1996)
Colloquium Mathematicae
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Shigenori Uehara (1998)
Colloquium Mathematicae
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Kaneyuki, Soji (2003)
Journal of Lie Theory
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Su, C.Joanna (2001)
International Journal of Mathematics and Mathematical Sciences
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Edmond Granirer (1994)
Colloquium Mathematicae
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Let be the left convolution operators on with support included in F and denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that , and are as big as they can be, namely have as a quotient, where the ergodic space W contains, and at times is very big relative to . Other subspaces of are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.
Kȩdra, Jarek, McDuff, Dusa (2005)
Geometry & Topology
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Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
Alejandro Illanes (1993)
Colloquium Mathematicae
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C. Bessaga (1993)
Fundamenta Mathematicae
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For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous, linear (i.e., additive and positive-homogeneous) operators extending metrics for A to metrics for X are constructed. They are defined by explicit analytic formulas, and also regarded as functors between certain categories. An essential role is played by "squeezed cones" related to the classical cone construction. The main result: if A is a nondegenerate absolute neighborhood retract for...
Paweł Andrzejewski (1996)
Fundamenta Mathematicae
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It is known ([1], [2]) that a construction of equivariant finiteness obstructions leads to a family of elements of the groups . We prove that every family of elements of the groups can be realized as the family of equivariant finiteness obstructions of an appropriate finitely dominated G-complex X. As an application of this result we show the natural equivalence of the geometric construction of equivariant finiteness obstruction ([5], [6]) and equivariant generalization of Wall’s...