Applications of homotopy in sheaf theory
HTML articles powered by AMS MathViewer
- by James M. Parks PDF
- Proc. Amer. Math. Soc. 34 (1972), 601-604 Request permission
Abstract:
Various mapping theorems for sheaf cohomology are obtained, where coefficients are in locally constant sheaves or limits of locally constant sheaves. Applications are made to the continuity of sheaf cohomology on homotopy-systems. A generalization of the Alexander-Čech cohomology continuity theorem is an immediate consequence.References
- D. G. Bourgin, Modern algebraic topology, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1963. MR 0160201
- Glen E. Bredon, Sheaf theory, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1967. MR 0221500
- Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886 James M. Parks, Homotopy-systems, H-spaces and sheaf cohomology, Ph.D. Dissertation, University of Houston, Houston, Texas, 1971.
- Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 34 (1972), 601-604
- MSC: Primary 55B30
- DOI: https://doi.org/10.1090/S0002-9939-1972-0451233-2
- MathSciNet review: 0451233