activity
20072026
most citedCobordisms of fold maps and maps with prescribed number of cusps

5 citations · 12 across the 13 of their papers we have counts for

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8 papers · 1 filter

math.GT2024

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…

math.GT2023

The boundary of the Milnor fibre and a linking invariant of finitely determined germs

Gergő Pintér, Tamás Terpai

The image of a finitely determined holomorphic germ from to defines a hypersurface singularity , which is in general non-isolated. We show…

math.GT2019

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…

math.GT2019

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.

math.GT2015★ 2 cited

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…

math.GT2015★ 1 cited

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…

math.GT2010★ 2 cited

Relations among characteristic classes and existence of singular maps

Boldizsar Kalmar, Tamas Terpai

We obtain relations among the characteristic classes of a manifold M admitting corank one maps. Our relations yield strong restrictions on the cobordism class of M and also nonexis…

math.GT2007★ 5 cited

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.…