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Articles 2311 - 2316 of 2316

Full-Text Articles in Physical Sciences and Mathematics

Steenrod Homology And Operator Algebras, Jerome Kaminker, Claude Schochet Mar 1975

Steenrod Homology And Operator Algebras, Jerome Kaminker, Claude Schochet

Mathematics Faculty Research Publications

The recent work of Larry Brown, R. G. Douglas, and Peter Fillmore on operator algebras has created a new bridge between functional analysis and algebraic topology. This note constitutes an effort to make that bridge more concrete.

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On The Bordism Ring Of Complex Projective Space, Claude Schochet Jan 1973

On The Bordism Ring Of Complex Projective Space, Claude Schochet

Mathematics Faculty Research Publications

The bordism ring MU∗(CP∞) is central to the theory of formal groups as applied by D. Quillen, J. F. Adams, and others recently to complex cobordism. In the present paper, rings E∗(CP∞) are considered, where E is an oriented ring spectrum, R=π∗(E), and pR=0 for a prime p. It is known that E∗(CP∞) is freely generated as an R-module by elements {βτ|r≧0}. The ring structure, however, is not known. It is shown that the elements {β …

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Radicals And Torsion Theories In Locally Compact Groups, Robert R. Bruner Jan 1972

Radicals And Torsion Theories In Locally Compact Groups, Robert R. Bruner

Mathematics Faculty Research Publications

In this paper we will study the properties of locally compact Abelian Hausdorff topological groups (hereafter known as LCA groups) by means of their mapping properties. The results contained herein are an outgrowth of work done by Professor Armacost [Al] on "sufficiency classes" of LCA groups. The sufficiency class S\textunderscore(H) of an LCA group H is the class of all LCA groups G such that there are sufficiently many continuous homomorphisms from G to H to separate the points of G. This condition is easily seen to be equivalent to the requirement that ∩ker(f)=0, where f ranges over all elements …

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A Two-Stage Postnikov System Where E₂ ≠ E∞ In The Eilenberg-Moore Spectral Sequence, Claude Schochet Jun 1971

A Two-Stage Postnikov System Where E₂ ≠ E∞ In The Eilenberg-Moore Spectral Sequence, Claude Schochet

Mathematics Faculty Research Publications

Let ΩB → PB → B be the path fibration over the simply-connected space B, let ΩB → E → X be the induced fibration via the map ƒ : X → B, and let X and B be generalized Eilenberg-Mac Lane spaces. G. Hirsch has conjectured that H*E is additively isomorphic to ΤοτH*B(Z₂,H*X), where cohomology is with Z₂ coefficients. Since the Elienberg-Moore spectral sequence which converges to H*E has E₂ = ΤοτH*B(Z₂,H …

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Optical And Electron-Paramagnetic Resonance Studies Of Sodium-Fluoride, Ronald Allen Andrews Oct 1966

Optical And Electron-Paramagnetic Resonance Studies Of Sodium-Fluoride, Ronald Allen Andrews

Wayne State University Dissertations

No abstract provided.

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The Preparation And Chemical Properties Of Tetracyclo [3.3.0.0^2,8.0^4,6] Octan-3-One, Arnold G. Phillips Jan 1963

The Preparation And Chemical Properties Of Tetracyclo [3.3.0.0^2,8.0^4,6] Octan-3-One, Arnold G. Phillips

Wayne State University Theses

No abstract provided.

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