40 citations · 66 across the 13 of their papers we have counts for
4 papers · 1 filter
Splitting necklaces and measurable colorings of the real line
Noga Alon, Jarosław Grytczuk, Michał Lasoń +1
A (continuous) necklace is simply an interval of the real line colored measurably with some number of colors. A well-known application of the Borsuk-Ulam theorem asserts that every…
On the relation between Betti numbers of an Arf semigroup and its blowup
Michał Lasoń
In this note we prove the relation between Betti numbers of an Arf semigroup and its blowup in the case when they have the same multiplicity . The relation is then $β_{…
Equivalent condition for approximately Cohen-Macaulay complexes
Michał Lasoń
We give a necessary and sufficient condition for a simplicial complex to be approximately Cohen-Macaulay. Namely it is approximately Cohen-Macaulay if and only if the ideal associa…
The set of fixed points of a unipotent group
Zbigniew Jelonek, Michał Lasoń
Let be an algebraically closed field. Let be a non-trivial connected unipotent group, which acts effectively on an affine variety Then every non-empty component of…