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. Variation and Uniqeuness of Outchannels (with H. Bell, J. Mayer and E. Tymchatyn), preprint. pdf
  59. Fixed points for positively oriented maps of the plane (with H. Bell, R. Fokkink, J. Mayer, and E. Tymchatyn), preprint. pdf
  60. On confluent graph-like compacta (with J. Prajs), Fundamenta Math. 178 (2003), 109--127. pdf
  61. Backward stability for polynomial maps with locally connected Julia set (with A. Blokh), Transactions AMS 356 (2004), p. 119--133. pdf
  62. Wandering triangles exist (with A. Blokh), C. R. Acad. Sci. Paris, Ser I 339 (2004), 365-370. pdf
  63. Extensions of zero-dimensional dynamical systems and hyperbolic attractors (with R. Fokkink and J. Keesling) Topology and its Apll. 152 (2005), 83-86.
  64. On minimal maps of 2-manifolds (with A. Blokh and E. Tymchatyn), Ergodic Theory and Dyn. Sys. 25 (2005), 41-57. pdf
  65. On almost one-to-one maps (with A. Blokh and E. Tymchatyn), Trans. 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. 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
  68. The Julia set of quadratic Cremer polynomials (with A. Blokh), Topology and its Appl. 153 (2006), 3038-3050. pdf
  69. On open maps between dendrites (with G. Acosta and P. Eslami), Houston J. of Math. 33 (2007), 753-770. pdf
  70. Planar finitely Suslinian compacta (with A. Blokh and M. Misiurewicz) Proc. Amer. Math. Soc., 135 (2007), 3755--3764. pdf
  71. Wandering gaps for weakly hyperbolic cubic polynomials (with A. Blokh), in: ``Complex dynamics: families and friends'', ed. by D. Schleicher, A K Peters (2009), ISBN 13978-1-56881-450-6, pp. 121--150. pdf
  72. Sets of constant distance from a compact set in 2-manifolds with a geodesic metric (with A. Blokh and M. Misiurewicz), Proc. Amer. Math. Soc. 137 (2009), no. 2, 733--743. pdf
  73. The Julia sets of basic uniCremer polynomials of arbitrary degree (with A. Blokh), Conformal Geometry and Dynamics 13 (2009), 139--159. pdf
  74. Centerlines of regions in the sphere (with J. Aarts and G. Brouwer), Topology and its Appl. 156 (2009), 1776--1785. pdf
  75. On monotone images of Cremer Julia sets (with A. Blokh), Houston J. of Math. 36 (2010), 469--476, arXive:0809.1193. pdf
  76. The solar Julia sets of basic quadratic Cremer polynomials (with A. Blokh, X. Buff and A. Ch\'eritat), Ergodic Th. and Dyn. Sys. 30 (2010), 51--65. pdf
  77. Extending isotopies of planar continua (with E. D. Tymchatyn), Annals of Math. 30 (2010), 51-65. pdf
  78. Non-degenerate quadratic laminations (with A. Blokh, D. Childers and J. Mayer), Topology Proc. 38 (2011), 313–360.
  79. Locally connected models for Julia sets (with. A. Blokh and C. Curry), Adv. in Math. Volume 226, Issue 2, 30 January 2011, Pages 1621-1661.
  80. Characterizing isotopic continua in the sphere (with Kirsten Valkenburg), Proc. AMS 139 (2011), no. 4, 1495–1510.
  81. Density of orbits in laminations and the space of critical portraits (with A. Blokh and C. Curry), Disc. and Cont. Dyn. Sys. 32 (2012), 2027--2039.
  82. Fixed point theorems for plane continua with applications (with A. Blokh, R. Fokkink, J. Mayer and E. Tymchatyn), Memoirs of the AMS 224 (2013), no. 1053 , arXiv:1004.0214.
  83. Cubic Critical Portraits and Polynomials with Wandering Gaps (with A. Blokh and C. Curry), Ergodic Theory and Dyn. Sys. 33 (2013), 713--738, arXiv:1003.4467
  84. Finitely Suslinian models for planar compacta with applications to Julia sets (with A. Blokh and C. Curry), Proc. AMS 141 (2013), no. 4, 1437--1449, arXiv:1009.1565.
  85. Laminations in the language of leaves (with A. Blokh, D. Mimbs and K. Valkenburg), Transactions AMS 365 (2013), 5367--5391, arXiv:1106.0273.
  86. On a notion of path length (with L. Hoehn and E. D. Tymchatyn), under revision, arXiv:1301.6070.
  87. Continuum Theory (with L. Hoehn and E. Tymchatyn, in ''Recent progress in general topology III'', (K.P. Hart, J. van Mill and P. Simon, ed.), 581--600, Springer 2013.
  88. Dynamical cores of topological polynomials, (with A. Blokh, , R. Ptacek and V. Timorin), Frontiers in Complex Dynamics: In Celebration of John Milnor’s 80th Birthday, edited by Araceli Bonifant, Mikhail Lyubich, and Scott Sutherland, Princeton Mathematical Series 51, Princeton University Press (2013), 27--47.
  89. The Main Cubioid (with A. Blokh, R. Ptacek, V. Timorin) , Nonlinearity 27 (2014), p. 1879--1897.
  90. An Extended Fatou-Shishikura inequality and wandering branch continua for polynomials (with A. Blokh, D. Childers, G. Levin and D. Schleicher), Adv. in Math. 288 (2016), 1121--1174. arXiv:1001.0953
  91. Quadratic-like dynamics of cubic polynomials (with A. Blokh, R. Ptacek, V. Timorin), Comm. Math. Phys. 341 (2016), 733--749, arXiv:1305.5799.
  92. Laminations from the Main Cubioid (with A. Blokh, R. Ptacek and V. Timorin), Disc. and Cont. Dyn. Sys. 36 (2016), no. 9, 4665–4702, 41 pages, arXiv:1305.5788.
  93. The combinatorial Mandelbrot set as the quotient of the space of geolaminations (with A. Blokh, R. Ptacek, V. Timorin), Contemporary Mathematics 669 (2016), 37-62, 24 pages.
  94. A complete classification of homogeneous plane continua (with Logan Hoehn), Acta Math. 216 (2016), no. 2, 177–216, 26 pages, arXiv:1409.6324
  95. Non-degenerate locally connected models for plane continua and Julia sets (with A. Blokh, V. Timorin), Discrete and Continuous Dynamical Systems - Series A , 37 (2017), 5781-5795
  96. Combinatorial models for spaces of cubic polynomials , (with A. Blokh, R. Ptacek, V. Timorin), Comptes Rendu Math. (2017), http://dx.doi.org/10.1016/j.crma.2017.04.005.
  97. Complementary components to the cubic Principal Hyperbolic Domain (with A. Blokh, R. Ptacek, V. Timorin), Proc. AMS (to appear), arXiv:1411.2535
  98. The parameter space of cubic laminations with a fixed critical leaf , (with A. Blokh, R. Ptacek, V. Timorin), Ergodic Th. and Dyn. Sys. (to appear) 40 pages, arXiv:1501.05568.
  99. Laminational models for some spaces of polynomials of arbitrary degree (with A. Blokh, R. Ptacek, V. Timorin), 116 pages, 13 figures, Memoirs of the AMS (to appear).
  100. Models for spaces of dendritic polynomials , (with A. Blokh, R. Ptacek, V. Timorin), TAMS (to appear). 22 pages, 2 figures.
  101. Slices of the Parameter Space of Cubic Polynomials (with A. Blokh, V. Timorin), 60 pages, 3 figures, submitted (2016).
  102. Extension of isotopies in the plane (with L. Hoehn and E.Tymchatyn), submitted (2017).
  103. Perfect subspaces of quadratic lamination (with A. Blokh, V. Timorin), 18 pages, submitted (2017).

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