THE HYPERPROJECTIVE HIERARCHY by STEPHEN L. BLOOM in Hoboken, New Jersey (U.S.A.)l) l) Most of the results of this paper are contained in the author's Ph. D. dissertation, done under the direction of Professor HILARY PUTNAM.
An Extension of the Hyperprojective Hierarchy
โ Scribed by Eliot D. Feldman
- Publisher
- John Wiley and Sons
- Year
- 1971
- Tongue
- English
- Weight
- 794 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
โฆ Synopsis
AN EXTENSION OF THE HYPERPROJECTIVE HIERARCHY by ELIOT D. FELDNAN in College Park, Maryland (U.S.A.)I) l) This paper is part of the author's Ph. D. dissertation written at Stevens Institute of Technology under the gracious direction of Professor STEPHEN L. BLOOM to whom the author wishes to express his deepest appreciation. J. W. ADDISON in "Some consequences of axiom of constructibifity", Fund. Math. 46 (1959), proves on pages 340-341 that the axiom of constructibility implies the existence of a projective (indeed d:) well-ordering of all of NN.
26* H [ ( y l , y,); a] = I0 { ( [ , q ) : 5 E 9[~[(pl*pJ;81}
๐ SIMILAR VOLUMES
A new super-extension of the KdV hierarchy is proposed, which is associated with a 3 ร 3 matrix spectral problem. Using super-trace identity, generalized bi-Hamiltonian structures of this hierarchy are established. Moreover, infinite conservation laws of the new super-KdV equation are derived.
A finite semimetric is L'-embeddable if it can be expressed as a non-negative combination of Hamming semimetrics. A finite semimetric is called hypermetric if it satisfies the (2k + 1)-gonad inequalities which naturally generalize the triangle inequality. It is known that all L'-embeddable semimetri