Topological invariants of real analytic sets by Zbigniew Szafraniec

Cover of: Topological invariants of real analytic sets | Zbigniew Szafraniec

Published by Uniwersytet Gdański in Gdańsk .

Written in English

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  • Analytic sets.,
  • Invariants.

Edition Notes

Includes bibliographical references (p. 73-78).

Book details

StatementZbigniew Szafraniec.
SeriesRozprawy i monografie ;, nr. 185, Rozprawy i monografie (Uniwersytet Gdański) ;, nr. 185.
LC ClassificationsQA331 .S96 1993
The Physical Object
Pagination78 p. ;
Number of Pages78
ID Numbers
Open LibraryOL1135253M
ISBN 108370174477
LC Control Number94102127

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Notice, the point z could be in A or it might not be in A. In topology and related areas of mathematics, a topological property or topological invariant is a property of a topological space which is invariant under is, a property of spaces is a topological property if whenever a space X possesses that property every space homeomorphic to X possesses that property.

Informally, a topological property is a property of the space that. The use of arc spaces and additive invariants partially obviates this disadvantage. Moreover, these methods are often parallel to the basic approaches of complex algebraic geometry. The authors' presentation contains the construction of local topological invariants of real algebraic sets by means of algebraically constructible functions.

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D Applications of Ljusternik–Schnirelmann type invariants to equivariant mappings. In Section topological invariants (such as the category of a set) were used to investigate the existence of critical points of an even functional.

Such topological invariants can also be used to study mapping properties of other equivariant operators. l'opoloyy Vol. No. _3i-_ ' X~t 8'. Printed in Great Britain. c ' Perzamon Journals Ltd. ON THE TOPOLOGICAL INVARIANTS OF GERMS OF ANALYTIC FUNCTIONS ZBIGNIEW SZAFRANIEC (Received 8 April ) LET f (R", 0)-R, 0) be a germ of a real analytic function, and let fc: (C", 0)-C, 0) be a complexification of f.

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