Topological K-equivalence of analytic function-germs
Sérgio Alvarez; Lev Birbrair; João Costa; Alexandre Fernandes
Open Mathematics (2010)
- Volume: 8, Issue: 2, page 338-345
- ISSN: 2391-5455
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topSérgio Alvarez, et al. "Topological K-equivalence of analytic function-germs." Open Mathematics 8.2 (2010): 338-345. <http://eudml.org/doc/269126>.
@article{SérgioAlvarez2010,
abstract = {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.},
author = {Sérgio Alvarez, Lev Birbrair, João Costa, Alexandre Fernandes},
journal = {Open Mathematics},
keywords = {Topological K-equivalence; Topological equivalence; Function-germs; topological -equivalence; topological equivalence; function-germs},
language = {eng},
number = {2},
pages = {338-345},
title = {Topological K-equivalence of analytic function-germs},
url = {http://eudml.org/doc/269126},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Sérgio Alvarez
AU - Lev Birbrair
AU - João Costa
AU - Alexandre Fernandes
TI - Topological K-equivalence of analytic function-germs
JO - Open Mathematics
PY - 2010
VL - 8
IS - 2
SP - 338
EP - 345
AB - 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.
LA - eng
KW - Topological K-equivalence; Topological equivalence; Function-germs; topological -equivalence; topological equivalence; function-germs
UR - http://eudml.org/doc/269126
ER -
References
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