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Topological K-equivalence of analytic function-germs

100%

Alvarez S., Birbrair L., Costa J., Fernandes A.

Open Mathematics

2010

tom 8

nr 2

338-345

We study the topological K-equivalence of function-germs (ℝn, 0) → (ℝ, 0). We present some special classes of piece-wise linear functions and prove that they are normal forms for equivalence classes with respect to topological K-equivalence for definable functions-germs. For the case n = 2 we present polynomial models for analytic function-germs.

The jump of the Milnor number in the X 9 singularity class

64%

Brzostowski S., Krasiński T.

Open Mathematics

2014

tom 12

nr 3

429-435

The jump of the Milnor number of an isolated singularity f 0 is the minimal non-zero difference between the Milnor numbers of f 0 and one of its deformations (f s). We prove that for the singularities in the X 9 singularity class their jumps are equal to 2.

Ograniczanie wyników

2 Open Mathematics

1 Alvarez S.

1 Birbrair L.

1 Brzostowski S.

1 Costa J.

1 Fernandes A.

1 Krasiński T.

1 2014

1 2010

Wyniki wyszukiwania

Topological K-equivalence of analytic function-germs

The jump of the Milnor number in the X 9 singularity class