20 citations · 49 across the 12 of their papers we have counts for
9 papers · 1 filter
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.
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…
Multiplicative properties of Morin maps
Gabor Lippner, Andras Szucs
In the first part of the paper we construct a ring structure on the rational cobordism classes of Morin maps (i. e. smooth generic maps of corank 1). We show that associating to a…
Cobordisms of fold maps and maps with prescribed number of cusps
Tobias Ekholm, Andras Szucs, Tamas Terpai
A generic smooth map of a closed -manifold into -space has a finite number of cusps (-singularities). We determine the possible numbers of cusps of such maps.…
Regular homotopy classes of immersions of 3-manifolds into 5-space
Osamu Saeki, András Szűcs, Masamichi Takase
We give geometric formulae which enable us to detect (completely in some cases) the regular homotopy class of an immersion with trivial normal bundle of a closed oriented 3-manifol…
Geometric formulas for Smale invariants of codimension two immersions
Tobias Ekholm, Andras Szucs
We give three formulas expressing the Smale invariant of an immersion f of a (4k-1)-sphere into (4k+1)-space. The terms of the formulas are geometric characteristics of any generic…