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Our approach stresses the bundle approach, concrete imprimitivity bimodules and is a preamble to a detailed treatment of the Brauer semigroup for a locally Hausdorff, locally
Generalizing the fact that Scott’s continuous lattices form the equational hull of the class of all algebraic lattices, we describe an equational hull of LFP, the category of
In the language of algebraic theories (i.e., finitary monads on Set ) the above Theorem together with Remark 6.21 tell us that the rational monad is an iterative algebraic theory
We shall also introduce a notion of openness for these generalized mor- phisms and we shall prove that open generalized morphisms of locally compact Hausdorff second countable
For example, it is well known that the probability Haar measure on a com- pact topological group Γ possesses the uniqueness property, i.e., any Borel left (right)
We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator B : E → E on a Banach lattice
riety isa locally finitely presentable category; in [1] Ad´amek and Porst characterized (the dual of) those essentially algebraic theories whose models form a quasivariety as being
Moreover, by restricting to the category of sets and partial functions, we rediscover the equivalence between the category of locally compact Hausdorff spaces with continuous and
