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Some remarks on the
coefficients used in the theory of homology manifolds
Frank Albert Raymond |
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Vol. 15 (1965), No. 4, 1365–1376
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Abstract |
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In the theory of generalized n-manifolds (n-gms) or Čech cohomology manifolds (n-cms), as developed principally by Wilder, the ring of coefficients had been a field. Due to the influence of transformation groups interest was aroused for more general coefficient systems. However, it is usually simpler to deal algebraically with coefficients in a field. Thus it becomes desirable to have a theorem which implies the validity of a result for n-cms over principal ideal domains when it is known to be valid for fields. The main result of our paper is devoted to such a theorem. |
Mathematical Subject Classification
Primary: 55.30
Secondary: 55.66
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Milestones
Received: 7 November 1963
Revised: 13 July 1964
Published: 1 December 1965
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Authors |
| Frank Albert Raymond | |
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