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SumTopo 2001, Sixteenth Summer Conference on Topology and its Applications
July 18-21, 2001
City College of CUNY
New York, NY, USA

Organizers
Ralph Kopperman (City College, CUNY), Susan Andima (CW Post College, LIU), Gerald Itzkowitz (Queens College, CUNY), Prabudh Misra (College of Staten Island, CUNY), Shelly Rothman (CW Post College, LIU), Aaron Todd (Baruch College, CUNY)

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Abstracts

This is an archive of abstracts accepted to this conference. For more listing and sorting options, see the active list.

Asymmetry/Computer Science

Guillaume Brümmer Natural extensions of the T0 spaces, their idempotency, and the quasi-uniform bicompletion.
Michael Bukatin Logic of Fixed Points and Scott Topology
Yi-Xiang Chen Topological semantics of Dijsktra's predicate transformers
David M. Clark Standard Topological Quasi-varieties
Martin Escardo Compactly generated spaces and locales
Jonathan David Farley Dijkstra's Predicate Transformers and Priestley Duality from the Pleistocene Era: The Duals of Order-Preserving Maps between Distributive Lattices
Christopher R A Gilmour Pseudocompactness and normality
Frederic De Jaeger Study of the computability of the functionals over the reals with the effective filter spaces.
Achim Jung A finitistic localic presentation of the probabilistic powerdomain.
Keye Martin The unification of metric spaces and domains
Thomas J. Peters Numerical Accuracy and Consistent Topology in Geometric Computations
Hilary Priestley A new role for asymmetric topologies
Ingrid M Rewitzky The Ontological Triangle
Rueiher Tsaur Approximation of fixed point properties of spaces by almost fixed point properties of discrete spaces
Guojun Wang Pseudo-Metrics on the set of abstract logic formulas
James Worrell A Coalgebraic Approach to Probabilistic Transition Systems
Bin Zhao Stable functions and the Lawson topology on Scott domains

Dynamical Systems

Ethan Akin Homogeneous LOTS
Joe Auslander A Theorem of Sell on Periodic Solutions
Yunhi Cho The Analytic Continuation of Hyperbolic Space
Annalisa Crannell (Non)Invariant Measures for Quasicontinuous Maps
Ivan Gotchev On the Intersection of Simple Curves
Harold M. Hastings Routes to chaos and the onset of ventricular fibrillation
Judy Kennedy The shift dynamics - indecomposable continua connection
Marcin Kulczycki Problems with the definition of the C0 UPOTP.
Alica Miller Lifting of Almost Periodicity of a Point
Roy A. Mimna Stability of Asymptotically Stable Sets for Continuous Functions
Sheldon Newhouse Asymptotic Measures for smooth systems
Thea Pignataro Piecewise Linear Approximations of Cantor Sets with Nonlinear Self-Similarities
Dragomir Saric Complex Earthquakes are Analytic
Amanda Katharine Schermer The Dynamics of Rational Maps of 2 x 2 Real Matrices
Cesar Silva Genericity of Rigidity and Multiple Recurrence for Infinite Measure Preserving and Nonsingular Transformations
J. J. P. Veerman Staircase Dynamics
Pura Vindel Graphs of NMS Flows on S3

Set-Theoretic Topology

Joni E. Baker Various points in the space of uniform ultrafilters
Zoltan Balogh Reflecting point-countable open families
Andreas Blass Some cardinal characteristics and the Stone-Cech remainder of the reals
Joerg Brendle Forcing notions related to ultrafilters on omega
Todd Eisworth Aspects of Elementary Submodels in Topology
Paul Gartside Countable Properties of Cantor Cubes
Gary Gruenhage The mathematics of Ben Fitzpatrick
K. P. Hart Embeddings into P(\omega)/fin
Melvin Henriksen Spaces X in which all prime z-ideals of C(X) are minimal or maximal
Richard Hodel A unified approach to topology, logic, and matroid theory
Wanjun Hu Applications of independent families
Lucia Junqueira Reflection in topology: the elementary submodel case
Ralph Kopperman On the role of finite hereditarily normal spaces and maps in the genesis of compact Hausdorff spaces.
John Kulesza Rim-finite, arc-free sets
Claude Laflamme Around Toeplitz topologies on bounded sequences
Paul Larson Katetov's Problem
Alex J. Lemin Isometric Imbedding of Ultrametric Spaces in the Lebesgue Spaces
Miguel López de Luna On Cech completeness and ultracompleteness
Keye Martin Applications of general topology in theoretical computation
David McIntyre Meagre reflection
Chandra Mohan Pareek A note on Lindelof space
S. A. Peregudov On order and topological properties of preferences
Judith Roitman Coarser connected topologies of Hausdorff spaces
Mary Ellen Rudin Lines and trees
Juris Steprāns Maximal cellular families in certain quotient algebras
Andrzej Szymanski Compactifying countable products of discrete spaces
Franklin D. Tall When does a compact reflection determine a space?
Angel Tamariz-Mascarúa On the Cech number and discreteness of C(X).
Gino Tironi Hausdorff Compactifications and Zero-one Measures
Vladimir Tkachuk Lindelöf \Sigma-property in Cp(X) and countable spread of X
J. J. P. Veerman Topological Properties of Mediatrices

Topological Groups and Semigroups

Anna Di Concilio Topologizing homeomorphism groups of rim-compact spaces
Dikran Dikranjan Topologically torsion elements of a topological group
Helge Glöckner Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
Salvador Hernandez A theorem on cardinal numbers associated with L\infty Abelian groups
Neil Hindman One sided ideals and Carlson's Theorem
Karl H. Hofmann Extending Lie Group Theory to Locally Compact Groups and Beyond.
Karl H. Hofmann Compact groups with large abelian subgroups
Gerald Itzkowitz Balance, Functional Balance, and Discrete balance in Topological groups
Kenneth Kunen Recent Results on Bohr Topologies
Elena Martín-Peinador On locally quasi-convex groups
Jillian McLeod Notions of Size in Partial Semigroups
Carolyn McPhail The Variety Generated by the Free Abelian Topological Group on [0, 1].
Paul Milnes Discrete cocompact subgroups of connected nilpotent groups and related flows
Dirk Mittenhuber Transitivity of actions of subsemigroups of nilpotent Lie groups
Gugu Moche The restriction of the natural map from \beta(\omega×\omega) to \beta\omega×\beta\omega is very badly not an isomorphism between the smallest ideals.
Sidney Morris A new structure theorem for compact groups
Peter Nickolas The character of free and free abelian topological groups
William Previts Immersions of locally compact connected groups
John Pym Multiplications in additive compactifications of N.
Luis Recoder-Núñez The condition weak-P(g, a) and its usage to count the number of dense w-bounded subgroups.
Desmond Robbie Suitable sets in semigroups
Dona Strauss Infinite image partition regular matrices
Markus Stroppel Locally compact groups with many automorphisms

Topological Algebra and Functional Analysis

Daniel Azagra Geometrical and topological properties of starlike bodies in Banach spaces
B. Cascales The Lindelöf property in Banach spaces
Jo-Ann Cohen Compact and Linearly Compact Rings with Identity
Marian Fabian Weak compactness and smoothness of norms in Banach spaces
Javier Gómez-Pérez Topologies on some algebras of continuous functions
Mihaela Iancu On continuous images of Radon-Nikodym compact spaces
Joseph Kist MinSpec and zero-dimensional spaces
Arkady Kitover Band Preserving Operators on Vector Lattices
Jimmie Lawson What can be encoded using T0-topologies
Shenggang Li Minimal Tychonoff Topological Molecular Lattices
Isaac Namioka On two generalizations of Radon-Nikodym compacta
Lawrence Narici The Hahn-Banach Theorem: The Life and Times
C. Perez-Garcia The Closed Range Theorem in p-adic Analysis
Sibylla Priess-Crampe An Approximation Theorem for Ultrametric Spaces and Applications
Stephen A. Saxon Weak barrelledness for the simple topology on C(X) spaces
Jean Schmets Holomorphic extension maps for spaces of Whitney jets
Alexander Shibakov Fréchet-Urysohn property and products of locally convex TVS
Aaron R. Todd Continuous functions spaces, Cp(X), Cc(X), and a weak barrelled property


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