منابع مشابه
Erratum to: Noncommutativity as a Colimit
The main purpose of this erratum is to correct a claim we made in our paper “Noncommutativity as a colimit” (Applied categorical structures, Volume 20, Number 4, August 2012, pp. 393–414) at the bottom of page 411, in between Proposition 9 and Lemma 4. Fortunately, our mistake does not invalidate any of the results in the paper or make them less relevant. Let us first define the categories Csta...
متن کاملNoncommutativity as a Colimit
We give substance to the motto “every partial algebra is the colimit of its total subalgebras” by proving it for partial Boolean algebras (including orthomodular lattices), the new notion of partial C*-algebras (including noncommutative C*-algebras), and variations such as partial complete Boolean algebras and partial AW*-algebras. Both pairs of results are related by taking projections. As cor...
متن کاملErratum to: Armentum: a hybrid direct search optimization methodology
In the original publication of this article unfortunately the co-authors were omitted. The two co-authors are displayed now.
متن کاملA Probability Monad as the Colimit of Finite Powers
We define a monad on the category of complete metric spaces with short maps, which assigns to each space the space of Radon probability measures on it with finite first moment, equipped with the Kantorovich–Wasserstein distance. It is analogous to the Giry monad on the category of Polish spaces, and it extends a construction due to van Breugel for compact and for 1bounded complete metric spaces...
متن کاملA colimit of classifying spaces Graham
We recall a group-theoretic description of the first non-vanishing homotopy group of a certain (n+1)-ad of spaces and show how it yields several formulae for homotopy and homology groups of specific spaces. In particular we obtain an alternative proof of J. Wu’s group-theoretic description of the homotopy groups of a 2-sphere.
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ژورنال
عنوان ژورنال: Applied Categorical Structures
سال: 2012
ISSN: 0927-2852,1572-9095
DOI: 10.1007/s10485-012-9298-z