Books
-
A First Course in Geometric Topology and Differential Geometry, Birkhäuser, Boston, 1996. publisher's information
-
Proofs and Fundamentals: A First Course in Abstract Mathematics, Birkhäuser, Boston, 2000. publisher's information
-
The Real Numbers and Real Analysis, to be published by Springer Verlag in 2009.
Papers
-
(with R. Connelly and D. W. Henderson) The space of simplexwise linear homeomorphisms of a convex 2-disk, Topology 23 (1984), 161-175. pdf
-
Simplexwise linear near-embeddings of a 2-disk into R2, Trans. Amer. Math. Soc. 288 (1985), 701-722. pdf
-
Strictly convex simplexwise linear embeddings of a 2-disk, Trans. Amer. Math. Soc. 288 (1985), 723-737. pdf
-
Simplexwise linear near-embeddings of a 2-disk into R2, II, Topology Appl. (1987), 93-101. pdf
-
Simplexwise linear and piecewise linear near self-homeomorphisms of surfaces, Fund. Math. 132 (1989), 151-162. pdf
-
Complexes whose boundaries cannot be pushed around, Discrete Comput. Geom. 4 (1989), 365-374.
-
A combinatorial Chern-Weil theorem for 2-plane bundles with even Euler characteristic, Israel J. Math. 67 (1989), 193-216.
-
The angle defect for arbitrary polyhedra, Beitrage Algebra Geom. 39 (1998), 379-393.
-
Critical points and the angle defect, Geom. Dedicata 109 (2004), 121-137. pdf
-
The angle defect for odd-dimensional simplicial manifolds, Discrete Comput. Geom. 35 (2006), 311-328. pdf
-
Mod 2 degree and a generalized no retraction theorem, Math. Nachr. 279 (2006), 490-494. pdf
-
A simple proof of a generalized no retraction theorem, to appear in Amer. Math. Monthly. pdf
-
A characterization of the angle defect and the Euler characteristic in dimension 2, to appear in Discrete Comput. Geom. pdf
-
Polyhedral representation of discrete Morse functions on regular CW complexes and posets, in preparation. pdf
|