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This tag is used if a reference is needed in a paper or textbook on a specific result.
2
votes
Where to find digitized old papers on the internet?
Perhaps it is worth mentioning that several important journals have been digitized by GDZ. It is one of reasonable places where to look for older papers. (If you can't find it through the subscription …
4
votes
Articles with examples of Darboux functions without fixed points
In Exercise 9.C of van Rooij - Schikhoff: A Second Course on Real Functions the following example is given.
Take any function $f \colon \mathbb R\to\mathbb R$ such that $f[I]=\mathbb R$ for every …
7
votes
Accepted
Where to find the results of Onishchik?
This paper was translated to English and appears in Fifteen papers on algebra. American Mathematical Society Translations. Series 2. Vol. 50; American Mathematical Society, Providence, R.I. 1966; MR18 …
6
votes
Accepted
Reference on the countable product of Banach spaces
I am posting a CW answer. Feel free to add other references.
Here are some references containing at least some basic facts about the construction from the question (or at least the fact that it yield …
1
vote
Accepted
Open images of submetrizable spaces
It seems quite likely that it was intended to be page 331 of the Engelking's book published in 1977 in PWN, Warszava1 - rather then the later edition by Heldermann (revised and completed edition, 1989 …
21
votes
1
answer
2k
views
Characterization of Fréchet-Urysohn spaces using sequential continuity at a point
A map $f \colon X \to Y$ is called sequentially continuous at the point $a$ if for every sequence $(x_n)$ such that $x_n\to a$, we also have $f(x_n)\to f(a)$.
$$x_n\to a \qquad \Rightarrow \qquad f(x_ …
5
votes
Accepted
Reference or counter-example for Closed Graph Theorem for multivalued maps in general topolo...
Since this result is mentioned in Wikipedia article on hemicontinuity, the references mentioned there might be a reasonable place to look for this result.
If you simply try searching for "upper hemic …
23
votes
Accepted
A good reference to the general Chinese Remainder Theorem
It seems that you are after this result which can be found, for example, as Theorem 3.12 in Gareth A. Jones, Josephine M. Jones: Elementary Number Theory, Springer-Verlag, London, 1998. Springer Under …
2
votes
Accepted
Reference needed for proof of a Tauberian theorem
As I don't speak French, this is partially a guess. But I think this is paper you're looking for. (Maybe somebody else will be able to suggest other references for the same result.)
Looking at the fo …
11
votes
Accepted
Density-$c_0$ in $\ell^\infty$
This type of convergence is often called statistical convergence.
The paper Constantin P. Niculescu, Gabriel T. Prajitura: Some open problems concerning the convergence of positive series
(arXiv:1201 …
7
votes
Accepted
Copy of paper by M. Naimi on squarefree friable integers
Simply trying to put Naimi "Les entiers sans facteurs carré" into Google leads to a PDF file which contains the corresponding volume of Publications Mathématiques d'Orsay - including this article.
It …
4
votes
Accepted
Unicity of additive, $(-1)$-homogeneous, and shift invariant probability measures on $\mathb...
This is basically Second construction 5.3 from Eric K. van Douwen. Finitely additive measures on $\mathbb N$. Topology Appl., 47 (3), (1992), 223–268. MR1192311 (94c:28004). This issue of Topology and …
3
votes
Accepted
Translation of Fakeev's Optimal Stopping Rules for Stochastic Processes with Continuous Para...
I have simply tried to put "Optimal Stopping Rules for Stochastic Processes with Continuous Parameter" into Google. One of the first results was: http://mi.mathnet.ru/eng/tvp1835
This website contain …
8
votes
Accepted
Ref. request: Additive probability measure on $\mathcal P({\bf N})$ supplies subset of $\mat...
A very good reference for various forms of AC is the book Howard, Rubin: Consequences of the Axiom of Choice, AMS, 1998. (See AMS website or Google Books.) This book contains a large database of vari …
12
votes
BCT equivalent to DC
Wikipedia article on Baire category theorem and several other sources mention this paper: Blair, Charles E. The Baire category theorem implies the principle of dependent choices. Bull. Acad. Polon. Sc …