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American Journal of Mathematics articles from December 1994
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American Journal of Mathematics archives from December 1994
Phantom maps and rational equivalences.
December 1, 1994... Given a CW-complex X, a phantom map f: X !approaches^ Y is, by definition, a map whose restriction to each n-skeleton, !X.sub.n^, is null homotopic. Let Ph (X, Y) denote the set of pointed homotopy classes of phantom maps from X to Y. The...
The view-obstruction problem for 4-dimensional spheres.
December 1, 1994... [Mathematical Expression Omitted];
(4) 2 [absolute value of] ([a.sub.1][a.sub.2][a.sub.3]), 3 ([a.sub.1][a.sub.2][a.sub.3][a.sub.4]);
(5) if 4 [a.sub.i](i = 1, 2, 3, 4), then 4 ([a.sub.1][a.sub.2][a.sub.3][a.sub.4]);
(6) ([a.sub.1],...
On the rigidity of Bergman submodules.
December 1, 1994... Introduction. The search for and the classification of invariant subspaces of various operators acting on function spaces have proved to be two very rewarding research problems in operator theory and harmonic analysis. Not only that the...
Extensions of projective curves.
December 1, 1994... 1. Introduction. Let C be a smooth complex projective curve of genus g [is greater than or equal to] 2 embedded in a projective space [P.sup.r] by a very ample line bundle N of degree d. If C is a hyperplane section of a nondegenerate (possibly...
The Hamiltonian theory of elastica.
December 1, 1994... 1. Introduction. A free elastica is a curve which is a critical point of the functional
[integral of] [[Kappa].sup.2] ds with the limit of [Gamma],
the total squared curvature of the curve [Gamma]. For a brief historical discussion, see...
The boundary absolute continuity of quasiconformal mappings.
December 1, 1994... [DS] S. K. Donaldson and D. P. Sullivan, Quasiconformal 4-manifolds, Acta Math. 163 (1989), 181-252.
[F] H. Federer, Geometric Measure Theory, Springer, New York, 1969.
[FHM] J. L. Fernandez, J. Heinonen, and O. Martio, Quasilines and...
Frobenius splitting of Schubert varieties and linear syzygies.
December 1, 1994... Introduction. Let G be a connected, simply connected, semi-simple algebraic group. Let B be a Borel subgroup of G. For an ample line bundle L on G/B, the questions about projective normality of the embedding of G/B in the complete linear system...
A note on Frobenius splitting of Schubert varieties and linear syzygies.
December 1, 1994... Let G be a connected, simply connected group and B be a Borel subgroup of G. Let X be a Schubert variety in G/B. Let [L.sub.1], . . ., [L.sub.r] be invertible sheaves on G/B. For [Alpha] [is an element of] [N.sup.r], let [Mathematical...
