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### What is the Y^n-space? [closed]

What is so special about Y^n-space? How can you explain Y^n-space to a second-grade student? Is the concept of a Y^n-space important to quantum mechanics and astronomy?
49 views

### What is transcendental Cantor set? an example, please? [closed]

What is the transcendental Cantor set? an example, please? Do transcendental Cantor sets have the same properties as regular ones? Can we construct a transcendental Cantor function? How?
16 views

### Names for product-like algebras involving a "duo of directed pseudoforests"

I am looking for the names (and/or for any information regarding) two algebras, one "free" and one "restricted" by an equivalence class. In both cases, there is an (infix) binary ...
1 vote
47 views

1 vote
103 views

### What is the possible reminders modulo 4 of an "odd part" of a polynomial?

Let $f(x)$ be a polynomial with integer coefficients. Let $f(x) = 2^k \cdot m$ where $m$ is odd. The questions are What are the possible values of $m \mod 4$ (1, 3 or both)? I want the algorithm ...
59 views

### Alternative proof of a theorem of Meshulam

A duplicate of this: I am reading the following paper https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=1e3f28b90e3802bc90052cb6ce3cf6b7fd02fa66. Theorem 1 says: Let $C$ be a ...
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69 views

### Coupling small and large injectivity radii

I'd like to know whether a manifold of constant curvature, which has large injectivity radius at many points, can have points of arbitrary small injectivity radius. More precisely, for a point $x$ in ...
• 247
### Are these two norms on localized versions of $L^p_q$ equivalent?
$\newcommand{\RR}{\mathbb R}\newcommand{\diff}{\, \mathrm d}$ We fix $T \in (0, \infty)$ and $p, q \in [1, \infty)$. Let $\mathbb T$ be the interval $[0, T]$. Let $E$ be the space of all real-valued ...