METRIC TOPOLOGY: A FIRST COURSE
... metric space and continuous function. This follows a familiar pattern in modern pure mathematics: one studies certain structured sets, along with “structurerespecting” functions between them. For example, in linear algebra the basic concepts are those of vector space and linear transformation. In th ...
... metric space and continuous function. This follows a familiar pattern in modern pure mathematics: one studies certain structured sets, along with “structurerespecting” functions between them. For example, in linear algebra the basic concepts are those of vector space and linear transformation. In th ...
Covariance algebra of a partial dynamical system - MATH Mail
... (here (π, U, H) and (π ′ , U ′ , H ′) denote covariant representations of (A, δ)). In many cases the main interest is concentrated on the subcategory CovFaith(A, δ) of Cov(A, δ) for which objects are algebras C ∗ (π(A), U) where now π is faithful. The fundamental problem then is to describe a univer ...
... (here (π, U, H) and (π ′ , U ′ , H ′) denote covariant representations of (A, δ)). In many cases the main interest is concentrated on the subcategory CovFaith(A, δ) of Cov(A, δ) for which objects are algebras C ∗ (π(A), U) where now π is faithful. The fundamental problem then is to describe a univer ...
GENTLY KILLING S–SPACES 1. Introduction and Notation In
... in which there are neither Q–sets nor locally compact, locally countable, hereditarily normal S–spaces. We provide such a model in this paper. In fact, in our model 2ℵ0 < 2ℵ1 (so in particular there are no Q–sets) and there are no locally compact, first countable S–spaces at all (hence no locally co ...
... in which there are neither Q–sets nor locally compact, locally countable, hereditarily normal S–spaces. We provide such a model in this paper. In fact, in our model 2ℵ0 < 2ℵ1 (so in particular there are no Q–sets) and there are no locally compact, first countable S–spaces at all (hence no locally co ...