- Real Analytic Germs and Their Varieties at Isolated Singularities, Inventiones Mathematicae, Vol. 37 (1976), pp. 193-199, MR 54 #13114. Note: this paper has an error in an example which was corrected in the paper by Les Reid, A correction to a paper of H. King, Invent. Math. 88 (1987), no. 2, pp. 423-425, MR #89a:57040
- The Number of Critical Points in Morse Approximations, Compositio Mathematica, Vol. 34 (1977), pp. 285-288, MR 56 #1330
- Topological Type of Isolated Critical Points, Annals of Math., Vol. 107 (1978), 385-397, MR 58#13081
- Topological Type in Families of Germs, Inventiones Math., Vol. 62 (1980), 1-13, MR #83a:58014
- Local behavior of Morse functions on Singular Spaces (ps file) I think this is a writeup of a talk I gave in Georgia in 1990?
- Topology of Isolated Critical Points of Functions on Singular Spaces, Stratifications and Topology of Singular Spaces II, Collection Travaux en Cours 55, Hermann (1997), pp. 63-72. (ps file)
- Sums of Isolated Critical Points (dvi file), preprint
- Approximating Submanifolds of Real Projective Space by Varieties, Topology, Vol. 15 (1976), pp. 81-85, MR 53 #435
- (with S. Akbulut) Real Algebraic Structures on PL Manifolds, BAMS, Vol. 83 (1977), pp. 281-282, MR 55 #13434
- (with S. Akbulut) The Topology of Real Algebraic Sets with Isolated Singularities, Annals of Math., Vol. 113 (1981), 425-446, MR #83b:58003
- (with S. Akbulut) Real Algebraic Structures on Topological Spaces, Publ. I.H.E.S., Vol. 53 (1981), 79-162, MR #83h:58009
- (with S. Akbulut) A Relative Nash Theorem, TAMS, Vol. 267 (1981), 465-481, MR #83b:58004
- (with S. Akbulut) All Knots are Algebraic, Comm. Math. Helv., Vol. 56 (1981), 339-351, MR #83m:57005
- (with S. Akbulut) A Topological Characterization of Real Algebraic Varieties, BAMS, Vol. 2 (1982), pp. 171-173, MR #82a:57017
- The Topology of Real Algebraic Sets, Proceedings of the AMS Summer Institute on Singularities, Arcata, Proc. Symp. Pure Math., 40, AMS (1983), MR #85i:14013
- (with S. Akbulut) The Topology of Real Algebraic Sets, L'Enseignement Math., t. 29 (1983), p. 221-261, MR #86d:14016a
- Survey on the topology of real algebraic sets, Rocky Mountain Journal of Math., Vol. 14 (1984), p. 821-830, MR #86d:14017
- (with S. Akbulut) Submanifolds and Homology of Nonsingular Real Algebraic Varieties, American Journal of Math., Vol. 107 (1985), p. 45-84, MR #86m:14017
- (with S. Akbulut) A Resolution Theorem for Homology of Real Algebraic Varieties, Inventiones Math., 79 (1985), p. 589-601, MR #86g:14011
- (with S. Akbulut) The Topology of Resolution Towers, TAMS, 302 (1987), p. 497-521, MR #88g:57039
- (with S. Akbulut) Introduction to Resolution Towers, 1985 Georgia Topology Conference, Lecture Notes in Pure and Applied Mathematics 105, Dekker, 1987, MR #87m:57040
- (with S. Akbulut) Polynomial Equations of Immersed Surfaces, Pacific Journal of Math., 131 (1988), p. 209-217, MR #89c:57028
- (with S. Akbulut) Some new results on the Topology of Nonsingular Real Algebraic Sets, BAMS, Vol. 23 (1990), pp. 441-446, MR #91e:57034
- (with S. Akbulut) Rational Structures on 3-manifolds, Pacific Journal of Math., 150 (1991), pp. 201-214, MR #93c:57028
- (with S. Akbulut) All compact manifolds are homeomorphic to totally algebraic real algebraic sets, Comm. Math. Helv., 66 (1991), pp. 139-149, MR #92c:14056
- (with S. Akbulut) Topology of Real Algebraic Sets, MSRI publications, Vol. 25, Springer-Verlag (1992). errata, MR #94m:57001
- (with S. Akbulut) On approximating submanifolds by algebraic sets and a solution to the Nash Conjecture, Inventiones Math., 107 (1992), pp. 87-98, MR #93d:57051
- (with S. Akbulut) Algebraicity of immersions in $R^n$, Topology, 31 (1992), pp. 701-712, MR #94d:57055
- Topological Properties Arising from Real Algebraic Geometry, Topology Hawaii, World Scientific (1992), pp. 149-156, MR #93e:57063
- (with S. Akbulut) Constructing Strange Real Algebraic Sets, Real Algebraic Geometry, Proceedings, Rennes 1991, Lecture Notes in Mathematics 1524, Springer-Verlag (1992), pp. 120-127. (ps file) , MR #94c:14046
- Trancendental Submanifolds of $R^n$ , Commentarii Math. Helv., 68 (1993), pp. 308-318, MR #94j:57032
- Resolving Singularities of Maps, Real Algebraic Geometry and Topology, AMS Contemporary Mathematics, Vol. 182,(1995), pp. 135-154. (ps file) , MR #96e:14016
- (with S. Akbulut) On Algebraic Vector Bundles, Real Algebraic Geometry and Topology, AMS Contemporary Mathematics, Vol. 182, (1995). (ps file) , MR #96e:57015
- (with J. Calcut) Real Algebraic Interiors and a problem of Arnol'd, Michigan Mathematics Journal. 52 (2004), pp. 361-373. (pdf file)
- (with S. Akbulut) Transcendental submanifolds of RP^n, Commentarii Mathematici Helvetici. 80, 2, pp. 427-432.
- Tico Spines, arXiv:1602.02608 [math.GT]. This gives the details of a proof of an elementary result used in The Topology of Real Algebraic Sets with Isolated Singularities, but only gave a picture proof there.
- Intersection Homology and Homology Manifolds, Topology, Vol. 21 (1982), 229-234, MR #83j:57010
- Topological Invariance of Intersection Homology without Sheaves, Topology and Applications, 20 (1985), p. 149-160, MR #86m:55010
- Planar Linkages and Algebraic Sets, arXiv:math/9807023 [math.AG]
- Semiconfiguration Spaces of Planar Linkages, arXiv:math/9810130 [math.GT]
- Configuration Spaces of Linkages in R^n, arXiv:math/9811138 [math.GT]
- (with K. Knudson and
N. Mrarmor) Generating discrete Morse
functions from point data. The algorithm in this article is implemented
here.

- (with K. Knudson and N. Mrarmor) Birth and death in discrete Morse theory, Journal of Symbolic Computation, to appear arXiv:0808.0051 [math.AT].
- (with D. Trotman) Poincare-Hopf Theorems on Singular Spaces, Proceedings of the London Math. Soc., (2014) 108 (3), pp. 682-703. (ps file)
- (with D. Geiger, D. Heckerman, C. Meek), Stratified Exponential Families: Graphical Models and Model Selection, Annals of Statistics, 29 (2001), no.~1, pp. 505-529.
- (with D. Geiger, D. Heckerman, C. Meek), On the geometry of DAG models with hidden variables, (link)
- (with J. Calcut
and L.Siebenmann) Connected Sum at Infinity
and Cantrell-Stallings hyperplane unknotting, Rocky Mountain Journal of Mathematics 42
(2012), pp. 1803-1862 arXiv:1010.2707 [math.GT]

Last modified, April 12, 2016

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