Open AccessSome questions on the Fukui numerical set for complex function germs
Author(s) -
Satoshi Koike,
Adam Parusiński
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0245
Subject(s) - mathematics , analytic function , invariant (physics) , complex valued function , set (abstract data type) , function (biology) , pure mathematics , computer science , mathematical physics , evolutionary biology , biology , programming language
The Fukui numerical set is known as a blow-analytic invariant for real analytic function germs. Taking into account the similarity between real blow-analytic properties and complex topological ones, we may ask if the Fukui numerical set is a topological invariant for complex analytic function germs. In this note we discuss the problem and give some related questions.