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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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The topology of resolution towers
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by Selman Akbulut and Henry King PDF
Trans. Amer. Math. Soc. 302 (1987), 497-521 Request permission

Abstract:

An obstruction theory is given to determine when a space has a resolution tower. This can be used to decide whether or not the space is homeomorphic to a real algebraic set.
References
  • Selman Akbulut and Henry King, The topology of real algebraic sets, Knots, braids and singularities (Plans-sur-Bex, 1982) Monogr. Enseign. Math., vol. 31, Enseignement Math., Geneva, 1983, pp. 7–47. MR 728579
  • —, Resolution tower. —, Resolution towers on real algebraic sets. —, Algebraic structures on resolution towers. —, The topological classification of $3$-dimensional real algebraic sets.
  • Selman Akbulut and Henry C. King, The topology of real algebraic sets with isolated singularities, Ann. of Math. (2) 113 (1981), no. 3, 425–446. MR 621011, DOI 10.2307/2006992
  • —, Submanifolds and homology of nonsingular algebraic varieties, Amer. J. Math. (1985), 45-83.
  • Selman Akbulut and Henry C. King, Real algebraic structures on topological spaces, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 79–162. MR 623536
  • Selman Akbulut and Laurence Taylor, A topological resolution theorem, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 163–195. MR 623537
  • D. Sullivan, Singularities in spaces, Proceedings of Liverpool Singularities Symposium, II (1969/1970), Lecture Notes in Math., Vol. 209, Springer, Berlin, 1971, pp. 196–206. MR 0339241
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 302 (1987), 497-521
  • MSC: Primary 57R90; Secondary 14F45, 14G30
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0891632-3
  • MathSciNet review: 891632