Cones and Vietoris-Begle type theorems
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- by D. G. Bourgin
- Trans. Amer. Math. Soc. 174 (1972), 155-183
- DOI: https://doi.org/10.1090/S0002-9947-1972-0322854-7
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Abstract:
Infinite cone constructions are exploited to yield diverse generalizations of the Vietoris-Begle theorem for paracompact spaces and Abelian group sheaves. The constructions suggest natural space, map classifications designated as almost p-solid. The methods are extended to upper semicontinuous closed multivalued maps and homotopies and culminate in a disk fixed point theorem for possibly nonacyclic point images.References
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Bibliographic Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 174 (1972), 155-183
- MSC: Primary 55B30
- DOI: https://doi.org/10.1090/S0002-9947-1972-0322854-7
- MathSciNet review: 0322854