20 citations · 49 across the 12 of their papers we have counts for
13 papers
On coincidences of Morin and first order Thom--Boardman singular loci
András Csépai, András Szűcs, Tamás Terpai
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- maps and that of…
On the classifying spaces of cobordisms of singular maps
András Szűcs, Tamás Terpai
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…
Classifying spaces for projections of immersions with controlled singularities
András Szűcs, Tamás Terpai
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.
Realizing homology classes up to cobordism
Mark Grant, András Szűcs, Tamás Terpai
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 th…
Singularities and stable homotopy groups of spheres II
A. Szűcs, T. Terpai
We establish a connection between Morin singularities and stable homotopy groups of spheres. This connection allows us to describe how the images of singularity strata behave aroun…
Singularities and stable homotopy groups of spheres I
Csaba Nagy, András Szűcs, Tamás Terpai
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 si…