In this paper we formulate and prove a generalization of the Spanier-Whitehead duality theorem in the generalized stable shape category and discuss its consequences.
Generalized stable shape and Brown's representation theorem
โ Scribed by Takahisa Miyata; Jack Segal
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 248 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0166-8641
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โฆ Synopsis
In this paper we formulate and prove the absolute and relative versions of the Hurewicz theorem and the homological version of the Whitehead theorem in the generalized stable shape category. We also apply Brown's representation theorem to obtain various properties of generalized stable shape and shape.
๐ SIMILAR VOLUMES
independently derived a generalization of MacMahon's master theorem. In this article we apply their result to obtain an explicit formula for the moments of arbitrary polynomials in the entries of X, a real random matrix having a Wishart distribution. In the case of the complex Wishart distributions,