منابع مشابه
Stone duality, topological algebra, and recognition
Our main result is that any topological algebra based on a Boolean space is the extended Stone dual space of a certain associated Boolean algebra with additional operations. A particular case of this result is that the profinite completion of any abstract algebra is the extended Stone dual space of the Boolean algebra of recognisable subsets of the abstract algebra endowed with certain residuat...
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In this paper we take some classical ideas from commutative algebra, mostly ideas involving duality, and apply them in algebraic topology. To accomplish this we interpret properties of ordinary commutative rings in such a way that they can be extended to the more general rings that come up in homotopy theory. Amongst the rings we work with are the differential graded ring of cochains on a space...
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Let ε 3 ∞ be arbitrary. Recently, there has been much interest in the description of covariant, pseudo-characteristic, Littlewood arrows. We show that every maximal domain is commutative. This leaves open the question of admissibility. In contrast, recent developments in applied arithmetic [3] have raised the question of whether GP ( Q̂, . . . , 1 N ) = ∫∫∫ Γ ( UPλ, . . . , 1 2 ) dW ∨ · · ·+ β (...
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Topologically non trivial effects appearing in the discussion of duality transformations in higher genus manifolds are discussed in a simple example , and their relation with the properties of Topological Field Theories is established.
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In this chapter we survey some developments in topological duality theory and the theory of completions for lattices with additional operations paying special attention to various classes of residuated lattices which play a central role in substructural logic. We hope this chapter will serve as an introduction and invitation to these subjects for researchers and students interested in residuate...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1978
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700008352