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pro vyhledávání: '"BALDWIN, JOHN"'
Autor:
Baldwin, John A., Sivek, Steven
The A-polynomial of a knot is defined in terms of SL(2,C) representations of the knot group, and encodes information about essential surfaces in the knot complement. In 2005, Dunfield-Garoufalidis and Boyer-Zhang proved that it detects the unknot usi
Externí odkaz:
http://arxiv.org/abs/2405.19197
We introduce some properties describing dependence in indiscernible sequences: $F_{ind}$ and its dual $F_{Mb}$, the definable Morley property, and $n$-resolvability. Applying these properties, we establish the following results: We show that the degr
Externí odkaz:
http://arxiv.org/abs/2405.08211
Autor:
Baldwin, John T.
We distinguish the axiomatic study of proofs in geometry from study about geometry from general axioms for mathematics. We briefly report on an abuse of that distinction and its unfortunate effect on US high school education. We review a number of 20
Externí odkaz:
http://arxiv.org/abs/2405.03461
Autor:
Baldwin, John A., Sivek, Steven
Let $Y$ be a closed, orientable 3-manifold with Heegaard genus 2. We prove that if $H_1(Y;\mathbb{Z})$ has order $1$, $3$, or $5$, then there is a representation $\pi_1(Y) \to \mathrm{SU}(2)$ with non-abelian image. Similarly, if $H_1(Y;\mathbb{Z})$
Externí odkaz:
http://arxiv.org/abs/2309.09780
Publikováno v:
Model Th. 3 (2024) 801-823
For an $\aleph_1$-categorical atomic class, we clarify the space of types over the unique model of size $\aleph_1$. Using these results, we prove that if such a class has a model of size $\beth_1^+$ then it is $\omega$-stable.
Comment: 22 pages
Comment: 22 pages
Externí odkaz:
http://arxiv.org/abs/2308.13942