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Results tagged with reference-request
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user 6249
This tag is used if a reference is needed in a paper or textbook on a specific result.
34
votes
1
answer
5k
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Freyd-Mitchell's embedding theorem
Freyd–Mitchell's embedding theorem states that: if $A$ is a small abelian category, then there exists a ring R and a full, faithful and exact functor $F\colon A \to R\text{-}\mathrm{Mod}$.
I have been …
- 3,004
10
votes
1
answer
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Different forms of compactness and their relation
Given a topological space X one can define several notion of compactness:
X is compact if every open cover has a finite subcover.
X is sequentially compact if every sequence has a convergent subsequ …
- 3,004
24
votes
6
answers
5k
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A good place to read about uniform spaces
I'd like to learn a bit about uniform spaces, why are they useful, how do they arise, what do they generalize, etc., without getting away from the context of general topology. I have to prepare an 1h3 …
- 3,004
2
votes
The best text to study both incompleteness theorems
If you can read Spanish, an excellent text which both formally proves and philosophically treats both Incompleteness theorems is Carlos Ivorra Castillo's "Lógica y teoría de conjuntos" which is freely …