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Results tagged with reference-request
Search options not deleted
user 22971
This tag is used if a reference is needed in a paper or textbook on a specific result.
6
votes
Accepted
$\aleph_2$ Suslin Hypothesis
From http://www.users.muohio.edu/larsonpb/kly_guessing.pdf (pdf 9 of 16):
Note that the consistency of GCH + "no $\omega_{2}$-Suslin-trees" is
still an open question. ...this old question is no …
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5
votes
Accepted
A.J. Galitzer's Ph.D. thesis: On the moduli space of closed polygonal linkages on the 2-sphere
You can find a copy here.
(A note on linking to academic papers.)
- 7,831
15
votes
Accepted
Seeking a seemingly missing reference of Casson
According to the following paper, this invariant's introduction is sourced as: A. Casson, Lecture notes, MSRI Lectures, Berkeley, 1985.
The first published discussion appears to be found in: S. Akbulu …
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17
votes
Has the Fundamental Theorem of Algebra been proved using just fixed point theory?
With regard to the answer already provided:
The Arnold proof is well known to be erroneous, but a correct (as far as I know) version is cited in an earlier MO post here. In particular, it is a proof …
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15
votes
First occurrence of "by the usual compactness argument"?
As far as English, there are earlier results for the phrasing standard compactness argument(s).
In particular, a few papers are linked to from 1947: see here on Google Scholar.
The earliest of the t …
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17
votes
Accepted
"'Category' was defined in order to define 'functor', which was defined in order to define '...
CW since some of the recent posts on MO have required little more than googling.
Prior to the book you mentioned, MacLane attributed this saying to Peter Freyd in:
MacLane, S. (1965). Categorical a …
5
votes
Origin of the theorem on the existence of the smallest field of definition of an affine variety
I suspect that this theorem is indeed due to Weil.
"Foundations of Algebraic Geometry" by Weil was published in 1946, but the 1944 paper "Some Properties of Ideals in Rings of Power Series" by Claud …
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7
votes
2
answers
398
views
Quantifying difficulty of integrals versus inverses
Recently, I have been discussing inverses with a tenth grade class and integrals with an eleventh/twelfth grade class, and this has led me to the following wonder:
Wonder. Is there a "reasonable" way …
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21
votes
5
answers
5k
views
What arrangement of unit cubes minimizes surface area?
For each of these two questions, one can assume that the arrangements are polycubes (for which a definition can be found in the excerpt-image below).
Question A. How does one arrange $n$ unit cubes t …
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5
votes
Accepted
Exact reference for Liouville theorem
Is it possible that the Liouville theorem you are thinking of is the boundedness theorem, whereas the result you have in mind is from a different paper of Liouville's? In particular, the paper:
Li …
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22
votes
Accepted
Anti-Mandelbrot set
Perhaps the key term is tricorn? See Inou's Self-similarity for the tricorn (arXiv pdf) and its references.
Sample excerpt:
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3
votes
3
answers
375
views
Closed formula for number of ones in a proper factor tree
Edit [2023 Dec 7]: One of my specific wonders, along with that of students, is around when a recursive formula might have – or be expected to have – an explicit or closed formula. What is the mathemat …
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2
votes
0
answers
138
views
Integers with exactly three factor pairs whose successors are relatively prime
I am interested in the following problem, and will appreciate pointers around how it can be solved – partially or fully – and/or indicators around whether it is even tractable:
Characterize $N \in \m …
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15
votes
4
answers
1k
views
Realizable Order Sequences for Finite Groups
My post is motivated at least in part by this MO question.
Has there been any work done on realizable order sequences for finite groups? By an "order sequence" I mean a non-decreasing list of the or …
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9
votes
1
answer
631
views
De-Nesting Absolute Value Function into Linear Combination of Absolute Value Functions
Context: In formulating problems for secondary school mathematics teachers (and students) about absolute value functions, which we define as functions $\mathbb{R} \rightarrow \mathbb{R}$ that send $x …
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