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Search options not deleted user 8250

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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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_ …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar
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 …
Martin Sleziak's user avatar