Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Terpai, Tamás"'
It is well-known that the Thom polynomial in Stiefel--Whitney classes expressing the cohomology class dual to the locus of the cusp singularity for codimension-$k$ maps and that of the corank-$2$ singularity for codimension-$(k-1)$ maps coincide. The
Externí odkaz:
http://arxiv.org/abs/2403.00332
Autor:
Pintér, Gergő, Terpai, Tamás
The image of a finitely determined holomorphic germ $\Phi$ from $\mathbb{C}^2$ to $\mathbb{C}^3$ defines a hypersurface singularity $(X,0)$, which is in general non-isolated. We show that the diffeomorphism type of the boundary of the Milnor fibre $\
Externí odkaz:
http://arxiv.org/abs/2304.12672
The main purpose of this paper is to prove that the positive real numbers can be decomposed into finitely many disjoint pieces which are also closed under addition and multiplication. As a byproduct of the argument we determine all the possible decom
Externí odkaz:
http://arxiv.org/abs/2303.16579
In frozen percolation, i.i.d. uniformly distributed activation times are assigned to the edges of a graph. At its assigned time, an edge opens provided neither of its endvertices is part of an infinite open cluster; in the opposite case, it freezes.
Externí odkaz:
http://arxiv.org/abs/1910.09213
Autor:
Szűcs, András, Terpai, Tamás
The classifying spaces of cobordisms of singular maps have two fairly different constructions. We expose a homotopy theoretical connection between them. As a corollary we show that the classifying spaces in some cases have a simple product structure.
Externí odkaz:
http://arxiv.org/abs/1902.09918
Autor:
Szűcs, András, Terpai, Tamás
We give an explicit simple construction for classifying spaces of maps obtained as hyperplane projections of immersions. We prove structure theorems for these classifying spaces.
Comment: 16 pages; submitted to Acta Mathematica Hungarica
Comment: 16 pages; submitted to Acta Mathematica Hungarica
Externí odkaz:
http://arxiv.org/abs/1902.06786
Autor:
Terpai, Tamás
A symmetric variant of Shannon capacity is defined and computed.
Comment: 4 pages, submitted to Electronic Journal of Combinatorics
Comment: 4 pages, submitted to Electronic Journal of Combinatorics
Externí odkaz:
http://arxiv.org/abs/1809.07313
We prove a no-dimensional version of Carath\'edory's theorem: given an $n$-element set $P\subset \Re^d$, a point $a \in \conv P$, and an integer $r\le d$, $r \le n$, there is a subset $Q\subset P$ of $r$ elements such that the distance between $a$ an
Externí odkaz:
http://arxiv.org/abs/1806.08725
It is known that neither immersions nor maps with a fixed finite set of multisingularities are enough to realize all mod 2 homology classes in manifolds. In this paper we define the notion of realizing a homology class up to cobordism; it is shown th
Externí odkaz:
http://arxiv.org/abs/1602.05759
We establish an interesting connection between Morin singularities and stable homotopy groups of spheres. We apply this connection to computations of cobordism groups of certain singular maps. The differentials of the spectral sequence computing thes
Externí odkaz:
http://arxiv.org/abs/1506.05260