Zobrazeno 1 - 10
of 689
pro vyhledávání: '"57N15"'
Autor:
Adiprasito, Karim A., Funar, Louis
We prove the arborescence of any locally finite complex that is $CAT(0)$ with a polyhedral metric for which all vertex stars are convex. In particular locally finite $CAT(0)$ cube complexes or equilateral simplicial complexes are arborescent. Moreove
Externí odkaz:
http://arxiv.org/abs/2404.14878
Autor:
Frolkina, Olga
Publikováno v:
Topol. Appl. 275 (2020) 107020
In 1994, J.Cobb constructed a tame Cantor set in $\mathbb R^3$ each of whose projections into $2$-planes is one-dimensional. We show that an Antoine's necklace can serve as an example of a Cantor set all of whose projections are one-dimensional and c
Externí odkaz:
http://arxiv.org/abs/2212.02984
Autor:
Frolkina, Olga
We describe wild embeddings of polyhedra into $\mathbb{R}^N$ which show that the answer to the question of B.J. Baker--M. Laidacker (1989) concerning uncountable families of pairwise disjoint compacta can be twofold. The central idea of our construct
Externí odkaz:
http://arxiv.org/abs/2203.03267
Autor:
Yotsutani, Naoto
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2, (2023)
Previously we constructed Calabi-Yau threefolds by a differential-geometric gluing method using Fano threefolds with their smooth anticanonical $K3$ divisors (New York J. Math. 20: 1-33, 2014). In this paper, we further consider the diffeomorphism cl
Externí odkaz:
http://arxiv.org/abs/2101.11841
Autor:
Gazor, Majid, Shoghi, Ahmad
Publikováno v:
Journal of Differential Equations Volume 326, 25 July 2022, Pages 129-163
An intrinsic essence of sounds in music is the evolution of their qualitative types while in mathematics we interpret each qualitative change by a bifurcation. Hopf bifurcation is an important venue to generate a signal with an arbitrary frequency. H
Externí odkaz:
http://arxiv.org/abs/2009.03446
Autor:
Gazor, Majid, Shoghi, Ahmad
We are concerned with bifurcation analysis and control of nonlinear Eulerian flows with non-resonant n-tuple Hopf singularity. The analysis is involved with CW complex bifurcations of flow-invariant Clifford hypertori, where we refer to these toral m
Externí odkaz:
http://arxiv.org/abs/2002.10452
Autor:
Ancel, Fredric D., Sparks, Pete
The main result of this article is that among the family of one-relator presentation 2-complexes that might be expected to be finitely unsplittable (not the union of two proper subpolyhedra with finite first homology groups) almost all have this prop
Externí odkaz:
http://arxiv.org/abs/1907.06742
Autor:
Asok, Aravind, Østvær, Paul Arne
We survey some topics in ${\mathbb A}^1$-homotopy theory. Our main goal is to highlight the interplay between ${\mathbb A}^1$-homotopy theory and affine algebraic geometry, focusing on the varieties that are "contractible" from various standpoints.
Externí odkaz:
http://arxiv.org/abs/1903.07851
Autor:
Ntalampekos, Dimitrios, Wu, Jang-Mei
Publikováno v:
Proc. Amer. Math. Soc. 148 (2020), 203-212
We prove that all Sierpi\'nski spaces in ${\mathbb{S}}^n$, $n\geq 2$, are non-removable for (quasi)conformal maps, generalizing the result of the first named author arXiv:1809.05605. More precisely, we show that for any Sierpi\'nski space $X\subset \
Externí odkaz:
http://arxiv.org/abs/1812.09246
Autor:
Basu, Samik
For $n\geq 2$ we compute the homotopy groups of $(n-1)$-connected closed manifolds of dimension $(2n+1)$. Away from the finite set of primes dividing the order of the torsion subgroup in homology, the $p$-local homotopy groups of $M$ are determined b
Externí odkaz:
http://arxiv.org/abs/1810.07549