Homogeneous ENR's

Homologically arc-homogeneous ENRs

The so-called Modified Bing–Borsuk Conjecture, which grew out of a question in [1], asserts that a homogeneous Euclidean neighborhood retract is a homology manifold. At this mini-workshop on exotic homology manifolds, Frank Quinn asked whether a space that satisfies a similar property, which he calls homological arc-homogeneity, is a homology manifold. The purpose of this note is to show that t...

Homogeneous Catalysis Homogeneous Catalysis

Homogeneous and Non Homogeneous Algorithms

Motivated by recent best case analyses for some sorting algorithms and based on the type of complexity we partition the algorithms into two classes: homogeneous and non-homogeneous algorithms.1 Although both classes contain algorithms with worst and best cases, homogeneous algorithms behave uniformly on all instances. This partition clarifies in a completely mathematical way the previously ment...

Frames and Homogeneous Spaces

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

Convolution and Homogeneous Spaces