Lex G. Oversteegen
Department of Mathematics
University of Alabama at Birmingham
Birmingham, Alabama 35294
E-mail:overstee@math.uab.edu
Fax: (205) 934-9025
Telephone: (205) 934-2154

List of Publications

  1. Non-Contractibility of Continua , Bull. de l'Acad. Polon. 26 (1978), 837-840.
  2. Internal characterizations of contractibility for fans , ibidem 27 (1979), 391-395.
  3. Fans and embeddings in the plane , Pacific J. of Math. 83 (1979), 495-503.
  4. An uncountable collection of non-contractible fans , Bull. de l'Acad. Polon. 27 (1979), 385-389.
  5. Every contractible fan is locally connected at its vertex , Trans. A. M. S. 260 (1980), 379-402.
  6. Open retractions and locally confluent mappings of certain continua , Houston J. of Math. 6 (1980), 113-125.
  7. An inverse limit description of an atriodic tree-like continuum and an induced map without a fixed point , Houston J. of Math 6 (1980), 549-564. (with J.T.Rogers, Jr.).
  8. Tree-like continua as limits of cyclic graphs , Top. Proc. 4 (1979), 507-514. (with J.T. Rogers, Jr.).
  9. Atriodic tree-like continua , Proc. A. M. S. 38 (1981), 201-204 (with E.D. Tymchatyn).
  10. A continuum chainable aposyndetic plane continuum , Houston J. of Math. 7 (1981), 271-274.
  11. Fixed point free maps on tree-like continua , Top. and Its Applications 13 (1982), 85-95 (with J.T. Rogers, Jr.).
  12. Plane strips and the span of continua , (I), Houston J. of Math. 8 (1982), 129-142 (with E.D. Tymchatyn).
  13. Fixed point sets of products and cones , Pac. J. of Math. 101 (1982), 129-142 (with J.R. Martin and E.D. Tymchatyn).
  14. Subcontinua with degenerate tranches in hereditarily decomposable continua , Trans. A. M. S. 178 (1983), 717-724 (with E.D. Tymchatyn).
  15. On the span of weakly chainable continua , Fund. Math. 122 (1984), 151-156 (with E.D. Tymchatyn).
  16. Span and weakly chainable continua , Fund. Math. 122 (1984), 159-174 (with E.D. Tymchatyn).
  17. A hereditarily indecomposable hereditarily non-chainable plane continuum , Fund. Math. 122 (1984), 237-246 (with Lee Mohler).
  18. On span and chainable continua , (I), Fund. Math. 123 (1984), 137-149 (with E.D. Tymchatyn).
  19. Plane strips and the span of continua , (II), Houston J. of Math. 10 (1984), 255-266 (with E.D. Tymchatyn).
  20. Open and monotone fixed point free maps on uniquely arcwise connected continua , Proceedings A. M. S. 95 (1986), 476-482 (with L. Mohler).
  21. Reduction and irreducibility for words and tree words , Fund. Math. 126 (1986), 107-121 (with L. Mohler).
  22. The Menger Curve, Characterization and extension of homeomorphisms of non-locally separating closed sets , Dissertationes Math. CCLII (1986), 5-50 (with J.C. Mayer and E.D. Tymchatyn).
  23. On products of (weakly) confluent mappings related to span , Houston J. of Math. 12 (1986), 109-116.
  24. On hereditarily indecomposable compacta (with. E.D. Tymchatyn), Geometric and Algebraic Topology, Banach Center Publications 18 (1986), 403-413.
  25. On the structure of tranches in continuously irreducible continua , Colloq. Math. 54 (1987), 23-28 (with L. Mohler).
  26. On span zero and chainability of continua , Houston J. Math 15 (1989), 573-593.
  27. On reductions of tree-words to (chain-)words , Houston J. of Math 15 (1989), 121-135.
  28. On hereditarily decomposable hereditarily equivalent non-metric continua (with Lee Mohler), Fund. Math. 136 (1990), 1-12.
  29. Factorizations of mappings through arcs , Houston J. of Math 17 (1991), 443--451.
  30. A topological characterizations of R-trees (with J. Mayer), Trans. A. M. S. 320 (1990), 395-415.
  31. A characterization of smooth Cantor Bouquets (with W. Bula), Proc. A. M. S. 108 (1990), 529-534.
  32. Recurrent homeomorphisms on R2 are periodic (with E.D. Tymchatyn), Proc. A. M. S. 110 (1990), 1083-1088.
  33. The product structure of homogeneous spaces (with J. Aarts), Indag. Math. 52; N0.1 (1990), 1-5.
  34. Whitney's Regular Families of Curves Revisited (with J. Aarts), Contemp. Math. 117 (1991), 1--7.
  35. Flowbox manifolds (with J. Aarts), Trans. A.M.S. 327 (1991), 449--463.
  36. Orientability of matchbox manifolds (with J. Aarts and C. Hagopian), Pacific J. of Math 150 (1991), 1--12.
  37. One-to-one continuous images of the Reals (with J. Aarts), Top. and its Applic. 41 (1991), 17--23.
  38. A recurrent non-rotational homeomorphism on the annulus (with R. Fokkink), Trans. A.M.S. 333 (1992); 865--875.
  39. Continuum Theory (with J.C. Mayer), Chapter 15 in Recent Progress in General Topology, North-Holland, Elsevier Publishing Company, 1992, 453--492.
  40. The geometry of the Julia sets (with J. Aarts), Trans. A. M. S. 338 (1993), 897--918.
  41. Characterization of separable metric R-trees (with J. Mayer, L. Mohler and E. Tymchatyn), Proc. A.M.S. 115 (1992); 257--264.
  42. On Universal R-trees (with J. Mayer and J. Nikiel), Trans. A.M.S. 334 (1992); 411--432.
  43. Denjoy meets rotation of an indecomposable cofrontier (with John Mayer), Chapter 12 in Continuum Theory and Dynamical Systems, Marcel Dekker 1993; 183--199.
  44. On the geometry of laminations (with R. Fokkink), Fund. Math 151 (1996), 195--207.
  45. On the dimension of some totally disconnected spaces (with E.D. Tymchatyn). Proc. A.M.S. 122 (1994); 885--889.
  46. The dynamics of the Sierpinski curve (with J. Aarts), Proc. A.M.S. 120 (1994), 965--968.
  47. Continuum chainability without arcs (with C.L. Hagopian), Houston J. of Math. 21(1995), 407--411.
  48. Semi-aposyndesis and continuum chainability (with C.L. Hagopian), in CONTINUA with the Houston Problem Book , Lecture Notes in Pure and Applied mathematics, Marcel Dekker Inc (1995), 249--252.
  49. Matchbox manifolds (with J. Aarts), in CONTINUA with the Houston Problem Book , Lecture Notes in Pure and Applied mathematics, Marcel Dekker Inc (1995), 3--14.
  50. The homeomorphism group of the hairy arc (with J. Aarts). Compositio Mathematica 96 (1995), 283--292.
  51. On homogeneous totally disconnected 1-dimensional spaces (with K. Kawamura and E.D. Tymchatyn), Fund. Math. 150 (1996), 97--112.
  52. Building blocks for Julia sets (with J. Grispolakis and J. Mayer),   Transactions of the AMS 351 (1999), 1203--1225.
  53. On confluent images of hairy arcs (with S. Macias and M. Widener), Topology and its Applications 105 (2000), 261--283.
  54. Recurrent critical points and typical limit set of rational maps (with A. Blokh and J. Mayer), Proc. A.M.S 127 (1999), 1215--1220.
  55. Conformal measures and Typical Limit Sets (with A. Blokh and J. Mayer), Topology and its Applications 108/3 (2000), 233--244.
  56. Cantor Sets of Arcs in Local Sigel Disks Boundaries (with A. Maner and J. Mayer), Topology and its Applications 112 (2001), no. 3, 315--336.
  57. On maps which are not semi-conjugate to interval maps (with S. MacDonald), Houston J. of Math 28 (2002), 807--813.
  58. Homogeneous weak solenoids (with R. Fokkink), Transactions AMS 354 (2002), 3743-3755. pdf
  59. On confluent graph-like compacta (with J. Prajs), Fundamenta Math. 178 (2003), 109--127. pdf
  60. Backward stability for polynomial maps with locally connected Julia set (with A. Blokh), Transactions AMS 356 (2004), p. 119--133. pdf
  61. Variation and Uniqeuness of Outchannels (with H. Bell, J. Mayer and E. Tymchatyn), Preprint. pdf
  62. Wandering Triangles exist (with A. Blokh), C. R. Math. (Acad. Sci., Paris) 339 (2004), 365-370. pdf
  63. On minimal maps of 2-manifolds (with A. Blokh and E. Tymchatyn), Ergodic Theory and Dyn. Sys. 25 (2005), 41-57. pdf
  64. Extensions of zero-dimensional dynamical systems and hyperbolic attractors (with R. Fokkink and J. Keesling), Topology and its Appl. 152 (2005), 83-86.
  65. On almost one-to-one maps (with A. Blokh and E. Tymchatyn), Transactions AMS 358 (2006), 5003-5014. pdf
  66. Applications of almost one-to-one maps (with A. Blokh and E. Tymchatyn), Topology and its Appl. 153 (2006), 1571-1585. pdf
  67. On open maps between dendrites (with G. Acosta and P. Eslami), Houston J. of Math (to appear). pdf
  68. Rotational subsets of the circle under z^n (with A. Blokh, J. Malaugh, J. Mayer, and D. Parris), Topology and its Appl. 153 (2006), 1540-1570. pdf
  69. Fixed points for positively oriented maps of the plane (with R. Fokkink, J. Mayer, and E. Tymchatyn), Preprint. pdf
  70. Julia sets of quadratic Cremer Julia sets (with A. Blokh), Topology and its Appl. 153 (2006), 3038-3050. pdf
  71. Planar finitely Suslinian compacta (with A. Blokh and M. Misiurewicz), Proc. AMS (to appear). pdf
  72. Wandering gaps for non-uniformly hyperbolic attractors (with A. Blokh), Submitted 2006. pdf
  73. On monotone images of Cremer julia sets (with A. Blokh), Submitted 2006. pdf
  74. Sets of constant distance from a compact set in 2-manifolds with a geodesic metric (with A. Blokh and M. Misiurewicz), submitted 2007. pdf

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