Homology of deleted products of one-dimensional spaces
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- by Arthur H. Copeland and C. W. Patty PDF
- Trans. Amer. Math. Soc. 151 (1970), 499-510 Request permission
Abstract:
The object of this paper is to investigate the homology of deleted products of finitely triangulated one-dimensional spaces. By direct calculation, we obtain upper bounds for the two-dimensional Betti numbers, and, using a rather small system of topological types of spaces appearing as subspaces of the space under consideration, we obtain lower bounds for these Betti numbers. We demonstrate that, in general, the two-dimensional Betti numbers are larger than they were originally thought to be.References
- Arnold Shapiro, Obstructions to the imbedding of a complex in a euclidean space. I. The first obstruction, Ann. of Math. (2) 66 (1957), 256–269. MR 89410, DOI 10.2307/1969998 R. G. Swan, The theory of sheaves, Univ. of Chicago Press, Chicago, Ill., 1964.
Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 151 (1970), 499-510
- MSC: Primary 55.30
- DOI: https://doi.org/10.1090/S0002-9947-1970-0264651-5
- MathSciNet review: 0264651