Đề tài " The homotopy type of the matroid grassmannian " ppt

... bundles. Theorem 1.1 tells us that the theory of matroid bundles is actually the same as the theory of ordinary vector bundles. The natural source for matroid bundles lies in the world of CD manifolds. To ... that the map THE HOMOTOPY TYPE OF THE MATROID GRASSMANNIAN 945 π| A : A →X is a homotopy equivalence; the base case of this induction is simpl...

Ngày tải lên: 05/03/2014, 23:20

... not the behavior of the electromagnetic field per se that is of interest, but rather its effect on the metric. THE EINSTEIN-MAXWELL-SCALAR FIELD EQUATIONS 885 In view of the above calculations, the ... formation of trapped regions. In view of the discussion in the introduction, it is thus only in a neighborhood of the point p (from which the Cauchy horizon emanat...

Ngày tải lên: 05/03/2014, 23:20

... that the Stokes operator in the domain M , subject to the boundary conditions (37), is equal to the −Δ operator. As a result of the above and (36) we apply a generalized version of the Stokes theorem ... account for the buoyancy forces and stratification effects under the Boussinesq approximation. Moreover, and due to the shallowness of the oceans and the atmosphere,...

Ngày tải lên: 06/03/2014, 08:21

... give further refinements of the asymptotic behavior of w near Σ 0 , which in turn give us a better understanding of the behavior of the metric g w near infinity. We begin with the proof of the first ... a global bound: max M n w i ≤ C. The next result summarizes the properties of the limit w = lim i w i . Recall from the proof of Theorem 3.5 the definition of...

Ngày tải lên: 15/03/2014, 09:20

... 2 −3(d+d  ) µ(S  )|X 1 |, which is equivalent to the lower bound on the size of S ∧S  that we claimed. We move on now to one of the more technical aspects of the theory of Bourgain systems, the notion of regularity. Definition ... Z)  ε. The reader may care to recall the definitions of d(f, Z) and of f Z at this point: they are given at the start of Section 3...

Ngày tải lên: 22/03/2014, 20:21

... Ind F D (W δ )=M F , then M F ⊕ Ind F D (W δ )isan(F,δ)-framed VOA. Before we prove Theorem 3.21, we note that the conditions of Theorem 3.21 including the fusion rule (3.21) follow from the conditions of Theorem ... abelian 2-group. Let V = ⊕ χ∈Irr(Q) V χ be the decomposition of V into the direct sum of eigenspaces of Q, where Irr(Q) is the set of linear characters...

Ngày tải lên: 28/03/2014, 22:20

... no influence on the types of any of the other particles during [0,s] (and of course no influence on the paths of these other particles), as long as we stay on I 1 ∩I 2 (compare the argument for ... finite number of B-particles in the system at time 0. The positions of these initial B-particles are arbitrary, but they are nonrandom. The B-particles move independently of...

Ngày tải lên: 16/02/2014, 06:20

... func- tion theoretic proof of Theorem 1.19. We include his proof in an appendix at the end of the paper. HOLOMORPHIC FUNCTIONS 295 2. The equivalence of the von Neumann inequality and the extension ... disk of type 2. This completes the proof of Lemma 5.17. In light of Lemma 5.17 the proof of Theorem 1.20 will be complete once we have established our final lemma....

Ngày tải lên: 05/03/2014, 23:20

... study the integral invariant theory of the space of pairs of ternary quadratic forms, and in particular, we show how the content of a quartic ring Q is related to the number of cubic resolvents of ... bijection: Remarks on Theorem 1. The proof of Theorem 1 is now complete, at least in cases of nonzero discriminant. Indeed, the work in Sections 3.2–3.4 makes the b...

Ngày tải lên: 14/03/2014, 22:20

... shows six of the twelve ways of connecting five points 1, . . . , 5 by a 5-cycle, the other six being the complements of these graphs in the complete graph on five vertices. The negation of the polynomial ... normalized). Since the values of the structure constants of the ring R(A) are given in terms of integer polynomials in the entries of A, the discrimin...

Ngày tải lên: 22/03/2014, 20:21