Vladimir Ivanovich Smirnov (1887–1974)

Vladimir Marik

The increasing demand for the use of database systems as an integrating factor in CAD/CAM applications has necessitated the development of database systems with appropriate modelling and retrieval capabilities. One essential problem is the treatment of geometric data which has led to the development of spatial databases. Unfortunately, most proposals only deal with simple geometric objects like...

INSTALLATIONS Vladimir

Memories of Vladimir Arnold

1. Dima Arnold in my life, by Dmitry Fuchs Unfortunately, I have never been Arnold’s student, although as a mathematician, I owe him a lot. He was just two years older than I, and according to the University records, the time distance between us was still less: when I was admitted to the Moscow State University as a freshman, he was a sophomore. We knew each other, but did not communicate much....

Nagata-Smirnov Metrization Theorem.nb

Introduction: The Nagata-Smirnov Metrization theorem gives a full characterization of metrizable topological spaces. In other words, the theorem describes the necessary and sufficient conditions for a topology on a space to be defined using some metric. As a motivational example, consider the discrete topology on some space (every subset of the space is open). Though it might not be apparent to...

Cancellation Theorem Vladimir

In this paper we give a direct proof of the fact that for any schemes of finite type X , Y over a Noetherian scheme S the natural map of presheaves with transfers Hom(Ztr(X),Ztr(Y )) → Hom(Ztr(X)⊗tr Gm,Ztr(Y )⊗tr Gm) is a (weak) A-homotopy equivalence. As a corollary we deduce that the Tate motive is quasi-invertible in the triangulated categories of motives over perfect fields. 2010 Mathematic...