منابع مشابه
Some remarks about metric spaces
Of course various kinds of metric spaces arise in various contexts and are viewed in various ways. In this brief survey we hope to give some modest indications of this. In particular, we shall try to describe some basic examples which can be of interest. For the record, by a metric space we mean a nonempty set M together with a distance function d(x, y), which is a real-valued function on M ×M ...
متن کاملSome remarks about curves in metric spaces
and when this happens we say that d(x, y) is an ultrametric. One can check that an ultrametric space is totally disconnected, which is to say that it does not contain a connected subset with more than two elements. Let us say that a subset E of a metric space (M, d(x, y)) is chain connected if for every pair of points u, v ∈ E and every ǫ > 0 there is a finite chain w1, . . . , wl of points in ...
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This paper studies the homotopy type of the configuration spaces Fn(X) by introducing the idea of configuration spaces of maps. For every map f : X → Y , the configuration space Fn(f) is the space of configurations in X that have distinct images in Y . We show that the natural maps Fn(X) ← Fn(f) → Fn(Y ) are homotopy equivalences when f is a proper cell-like map between d-manifolds. We also sho...
متن کاملRemarks on some interpolation spaces
One purpose of this paper is to introduce a new idea of associating microlocal measures to bounded functions of bounded variation, and even to functions in the interpolation space (H(Q)yL (Q))1.7oo, in order to replace and improve some methods from geometric measure theory. Some properties of similar interpolation spaces are reviewed first. I do not remember when I met Enrico MAGENES for the fi...
متن کاملSome Remarks about Induced Qcd
Migdal and Kazakov have suggested that lattice QCD with an adjoint representation scalar in the infinite coupling limit could induce QCD. I find an exact saddlepoint of this theory for infinite N in the case of a quadratic scalar potential. I discuss some aspects of this solution and also show how the continuum D = 1 matrix model with an arbitrary potential can be reproduced through this approa...
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ژورنال
عنوان ژورنال: Formalized Mathematics
سال: 2018
ISSN: 1898-9934,1426-2630
DOI: 10.2478/forma-2018-0019