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Examples of $aleph_0$-categorical nonhomogeneous structures

Macpherson in a survey of homogeneous structures, states that there are many $aleph_0$-categorical structures which are not homogeneous. I'd like to know more of such examples. Edit: The...

Asked on 11/03/2021

2 answer

Extending a holomorphic vector bundle: a reference request

Let $Y$ be a complex manifold, $Xsubset Y$ a compact submanifold, and $Eto X$ a holomorphic vector bundle. Can $E$ be extendedto...

Asked on 11/03/2021 by Alex Gavrilov

1 answer

Applications of Set theory vs. model theory in mathematics

I have a question that has occupied my mind for some time. Let's first consider applications of set theory and model theory in mathematics. Major applications of set theory are...

Asked on 11/03/2021 by Mohammad Golshani

0 answer

Closed walks on an $n$-cube and alternating permutations

Let $w(n,l)$ denote the number of closed walks of length $2l$ from a given vertex of the $n$-cube. Then, it is well-known that $$cosh^n(x)=sum_{l=0}^{infty}frac{w(n,l)}{(2l)!}x^{2l}.$$ Differentiating both...

Asked on 11/03/2021 by bryanjaeho

2 answer

Bounded non-symmetric domains covering a compact manifold

This question is somewhat related to this other question of mine. I was wondering which are the known examples of bounded domains $Omega$ in $mathbb C^n$ admitting...

Asked on 11/03/2021 by diverietti

1 answer

Residues in several complex variables

I am trying to educate myself about the basics of the theory of residues in several complex variables. As is usually written in the introduction in the textbooks on the...

Asked on 11/03/2021 by Bananeen

2 answer

What kinds of papers does the Indiana University Mathematics Journal publish?

I am wondering if anyone can provide information on the Indiana University Mathematics Journal, as I have been able to find very little (ie aims and scope) on...

Asked on 11/03/2021

1 answer

Is there a definable model of PA whose domain is a proper class and whose complete theory is not definable?

Assume ZFC. Is there a formula of $mathcal{L}_in$ (without parameters) defining a model $mathcal{M}$ of PA whose domain is a proper class but the complete theory of that...

Asked on 11/03/2021 by Guy Crouchback

0 answer

Which field extensions do not affect Chow groups?

Let $X$ be a (say, smooth projective) variety over a field $k$. For which $K$ it is known that the ("ordinary", that is, not higher) Chow groups...

Asked on 11/03/2021 by Mikhail Bondarko

0 answer

Reference for topological graph theory (research / problem-oriented)

I would be interested in recommendations for topological graph theory texts. I think Gross and Yellen has a great chapter on topological graph theory, and I find Mohar and Thomassen's...

Asked on 11/03/2021

7 answer

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