Geometry & Topology
epub |eng | | Author:Laurenţiu G. Maxim

Let be a pure n-dimensional closed algebraic subvariety with a Whitney stratification . Let be a generic hyperplane (i.e., transversal to all strata of ). Then the natural homomorphism is ...
( Category: Topology July 1,2020 )
epub, pdf |eng | 2014-06-02 | Author:Saunders Mac Lane

2. Algebras for a Monad The natural question, “Can every monad be defined by a suitable pair of adjoint functors?” has a positive answer, in fact there are two positive ...
( Category: Algebraic Geometry July 1,2020 )
epub, pdf |eng | | Author:Werner Ballmann

is a diffeomorphism. For all k ≥ 0, therefore, is an isomorphism. By Corollary 3.4.5 and Exercise 3.9.10.1, however, Thus, we are in a position to recursively determine the cohomology ...
( Category: Differential Geometry June 30,2020 )
epub, pdf |eng | 2012-10-05 | Author:Joe Rosen [Rosen, Joe]

Symmetries we have not yet studied ‘Here — we — are,’ said Rabbit very slowly and carefully, ‘all — of — us, and then, suddenly, we wake up one morning, ...
( Category: Applied June 30,2020 )
epub |eng | | Author:Wladimir-Georges Boskoff & Salvatore Capozziello

The constant k is not equal to 1 by definition, but, if we measure the weight, the space and the time with some other scaled units, the ratio results 1. ...
( Category: Differential Geometry June 30,2020 )
epub |eng | | Author:Enrico Carlini & Huy Tài Hà & Brian Harbourne & Adam Van Tuyl

holds for each r > 1. It turns out the containment I((Nr − N + 1)Z) ⊆ I(Z)r often holds, but not always. The first failure of containment was given ...
( Category: Algebraic Geometry June 30,2020 )
epub |eng | | Author:Leticia Brambila Paz, Ciro Ciliberto, Eduardo Esteves, Margarida Melo & Claire Voisin

The same filtration argument on the vector bundle M L shows that in the case of curves, the Betti diagram consists of only two rows, namely that of linear syzygies ...
( Category: Algebra June 28,2020 )
epub |eng | | Author:Gerardo F. Torres del Castillo

( Category: Group Theory June 28,2020 )
epub |eng | | Author:Simona Paoli

Let 1 ≤ m < n. Then f : X → Y in is a levelwise (n − m)-equivalence if and only if it is an n-equivalence and a) The ...
( Category: Topology June 27,2020 )
epub, pdf |eng | | Author:Torsten Wedhorn

(8.22) If I is finite, then . Another special case is the cokernel of a homomorphism of -modules as the colimit of the diagram (). It is denoted by and ...
( Category: Group Theory June 27,2020 )
epub |eng | 2019-04-15 | Author:Allen Ma

Using the Distance Formula to Classify Shapes Now that we know how to use the distance formula, let’s use it to show the special properties of the different triangles and ...
( Category: Geometry & Topology April 7,2020 )
epub |eng | | Author:Sotirios E. Louridas & Michael Th. Rassias

Prove that the ratio of the perimeter of the triangle A 1 B 1 C 1 to the area of the triangle A 1 B 1 C 1 is constant. ...
( Category: Algebraic Geometry April 2,2020 )
epub |eng | | Author:Răzvan Gelca & Titu Andreescu

while the product of the second pair is We can see that the first of these expressions exceeds the second by mk . This proves that if the permutation has ...
( Category: Algebra April 1,2020 )
epub |eng | 2001-04-14 | Author:Eugene Don

Step 2 The distance between (x, y) and (2, 3) is Step 3 Since the point (x, y) lies on the line,, Step 4 Differentiating this expression is a little ...
( Category: Analytic Geometry April 1,2020 )