Irrational connected sums and the topology of algebraic surfaces
نویسندگان
چکیده
منابع مشابه
Sums of Squares on Real Algebraic Surfaces
Consider real polynomials g1, . . . , gr in n variables, and assume that the subset K = {g1 ≥ 0, . . . , gr ≥ 0} of Rn is compact. We show that a polynomial f has a representation
متن کاملDetermining the Topology of Real Algebraic Surfaces
An algorithm is proposed to determine the topology of an implicit real algebraic surface in R. The algorithm consists of three steps: surface projection, projection curve topology determination and surface patches composition. The algorithm provides a curvilinear wireframe of the surface and the surface patches of the surface determined by the curvilinear wireframe, which have the same topology...
متن کاملDetermine the Topology of Real Algebraic Surfaces
In this talk, an algorithm is proposed to determine the topology of an implicit real algebraic surface in R. The algorithm consists of four steps: surface projection, projection curve topology determination, surface patch composition, and combination of surface patches. The algorithm gives an intrinsic representation for the topology of the surface. Some examples are used to show that the algor...
متن کاملCategorically-algebraic topology and its applications
This paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. It incorporates the most important settings of lattice-valued topology, including poslat topology of S.~E.~Rodabaugh, $(L,M)$-fuzzy topology of T.~Kubiak and A.~v{S}ostak, and $M$-fuzzy topology on $L$-fuzzy sets of C.~Guido. Moreover, its respe...
متن کاملOn the topology of algebraic surfaces and reduction modulo p
We show that the topology of a simply-connected smooth projective surface is determined by its algebraic structure modulo p.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1979
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1979-0517689-2