93 citations · 180 across the 39 of their papers we have counts for
4 papers · 1 filter
Algebraic Stratified General Position and Transversality
Clint McCrory, Adam Parusinski, Laurentiu Paunescu
The method of Whitney interpolation is used to construct, for any real or complex projective algebraic variety, a stratified submersive family of self-maps that yields stratified g…
Validity proof of Lazard's method for CAD construction
Scott McCallum, Adam Parusinski, Laurentiu Paunescu
In 1994 Lazard proposed an improved method for cylindrical algebraic decomposition (CAD). The method comprised a simplified projection operation together with a generalized cell li…
Moser's theorem on manifolds with corners
Martins Bruveris, Peter W. Michor, Adam Parusinski +1
Moser's theorem (1965) states that the diffeomorphism group of a compact manifold acts transitively on the space of all smooth positive densities with fixed volume. Here we describ…
Higher order approximation of analytic sets by topologically equivalent algebraic sets
Marcin Bilski, Krzysztof Kurdyka, Adam Parusinski +1
It is known that every germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that the homeomorphism can be chosen in such a way that the an…