Le cours de N. Lerner

of a full subcategory of TOP (the category of topological spaces and continuous functions) in which the composition of regular morphisms is not necessarily

By the above corollary, the almost Lindelôf property in a fixed power of separable metric spaces is a Baire measurable

The first example is of a completely regular space X in which every bounded subset is finite but such that the repletion uX contains an infinite compact subset.. This enables us

A. Alexandrov [1] introduced the notion of lower curvature bounds for metric spaces in terms of comparison properties for geodesic triangles. These curvature bounds are equivalent

(Generalized Bishop–Gromov volume growth inequality) Assume that the metric measure space ( M, d, m ) satisfies the curvature-dimension condition CD ( K, N ) for some real numbers K, N

Usually there is no w a y of controlling the topological respectability of sets obtained b y use of the axiom of choice, and quite different methods have to

We will establish a local Li-Yau’s estimate for weak solutions of the heat equation and prove a sharp Yau’s gradient gradient for harmonic functions on metric measure spaces, under

First introduced by Faddeev and Kashaev [7, 9], the quantum dilogarithm G b (x) and its variants S b (x) and g b (x) play a crucial role in the study of positive representations