منابع مشابه
Comparing Completions of a Space at a Prime
There are two practical ways to complete an abelian group A at a prime p. One could complete A with respect to the neighborhood base of zero given by the subgroups pA. This completion, called p-completion, is limA/pA. Or one could complete A with respect to the neighborhood base of zero given by subgroups B ⊆ A of finite p-power index. This completion, called p-pro-finite completion, is limAα w...
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For an o-minimal expansion R of a real closed field and a set V of Th(R)-convex valuation rings, we construct a “pseudo completion” with respect to V . This is an elementary extension S of R generated by all completions of all the residue fields of the V ∈ V , when these completions are embedded into a big elementary extension of R. It is shown that S does not depend on the various embeddings u...
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The main goal of this paper is to prove that the idempotent completions of the triangulated categories of singularities of two schemes are equivalent if the formal completions of these schemes along singularities are isomorphic. We also discuss Thomason theorem on dense subcategories and a relation to the negative K-theory.
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Given a compact space $X$ and a commutative Banach algebra $A$, the character spaces of $A$-valued function algebras on $X$ are investigated. The class of natural $A$-valued function algebras, those whose characters can be described by means of characters of $A$ and point evaluation homomorphisms, is introduced and studied. For an admissible Banach $A$-valued function algebra...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1978
ISSN: 0019-2082
DOI: 10.1215/ijm/1256048468