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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Topology of homology manifolds
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by J. Bryant, S. Ferry, W. Mio and S. Weinberger PDF
Bull. Amer. Math. Soc. 28 (1993), 324-328 Request permission

Abstract:

We construct examples of nonresolvable generalized n-manifolds, ${n \geq 6}$, with arbitrary resolution obstruction, homotopy equivalent to any simply connected, closed n-manifold. We further investigate the structure of generalized manifolds and present a program for understanding their topology.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 28 (1993), 324-328
  • MSC: Primary 57P10; Secondary 57N15, 57P05, 57R67
  • DOI: https://doi.org/10.1090/S0273-0979-1993-00381-1
  • MathSciNet review: 1183997