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
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