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Currently displaying 1 – 4 of 4

Order by Relevance | Title | Year of publication

Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism

R. Benedetti; M. Dedò — 1984

Compositio Mathematica

Effectiveness - non effectiveness in semialgebraic and PL geometry.

F. Acquistapace; R. Benedetti — 1990

Inventiones mathematicae

On real algebraic links in $S^{3}$

R. Benedetti; M. Shiota — 1998

Bollettino dell'Unione Matematica Italiana

Viene presentata una costruzione che, dato un arbitrario nodo $L \subseteq S^{3}$ , produce allo stesso tempo: 1) un'applicazione polinomiale $f : (R^{4}, 0) \to (R^{2}, 0)$ con singolarità (debolmente) isolata in $0$ e $L$ come tipo di nodo della singolarità; 2) una risoluzione delle singolarità di $f$ nel senso di Hironaka. Specializzando la costruzione ai nodi fibrati otteniamo una versione debole (a meno di scoppiementi e nella categoria analitica reale) di un reciproco per il teorema di fibrazione di Milnor.

Bounding the Number of Connected Components of a Real Algebraic Set.

F. Loeser; R. Benedetti; J.J. Rïsler — 1991

Discrete & computational geometry

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