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17th "Summer" Conference on Topology and Applications
July 1-4, 2002
University of Auckland
Auckland, New Zealand

Organizers
David Gauld (University of Auckland), Sina Greenwood (University of Auckland), David McIntyre (University of Auckland), Warren Moors (Waikato University), Sidney Morris (University of South Australia), Vladimir Pestov (Victoria University Wellington), Ivan Reilly (University of Auckland), Des Robbie (University of Melbourne)

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Abstracts

Applications in Computer Science

Vasco Brattka Computability of Banach Space Principles
Bruce S. Burdick Categorical Completeness: Surprises and Difficulties
John L Frith Some remarks on Dimension Theory for Frames
Rob Goldblatt A compactification of polynomial coalgebras
Michael Mislove Colimits in categories of topological and ordered spaces
Marlon Rayburn Lattices of Proximities
Anneliese Schauerte The pseudocomplement in pointfree topology.
Ludwig Staiger \omega-Languages and the Borel Hierarchy in Cantor Space
Pawel Waszkiewicz Partial semimetric spaces

Dynamical Systems and Topology

John Banks Digraph Mapping Properties
Kevin A. Broughan The topological structure of holomorphic flows in the neighbourhood of a centre
Robert L. Devaney Indecomposable continua in complex dynamics
Judy Kennedy The shift dynamics - indecomposable continua connection
Marcin Kulczycki A note on behaviour of invariant sets around an adding machine in the plane.
Krystyna Kuperberg Isolated aperiodic minimal sets in 3-manifolds
Brian Raines Pseudo-Orbit Shadowing, Omega-Limit Sets, and Inverse Limit Spaces
Ser Peow Tan Circle packings on surfaces with projective structures
H. Murat Tuncali Topological Dynamics on Menger Manifolds.
Tsukasa Yashiro Constructing Surface Knots
James A. Yorke High Dimensional Horseshoes from simple problems

Function Spaces

Jiling Cao On some vector-valued Banach-Stone theorems
Anna Di Concilio Topologizing homeomorphism groups of rim-compact spaces
Szymon Dolecki Duality in convergence theory
Paul Gartside Function Spaces: sequences and metrics
J.R. Giles Lipschitz functions on subspaces of Asplund generated spaces are generically virtually pseudo-regular
Michael Megrelishvili Group actions on duals of Asplund spaces
Warren Moors A dual differentiation space without an equivalent locally uniformly rotund norm.
Scott Sciffer Frechet intermediate differentiability of locally Lipschitz functions on Asplund spaces.
Sivajah Somasundaram Weak Asplund spaces
Vladimir V. Tkachuk On uniformly dense subspaces of function spaces
Grant Woods When all prime z-ideals of C(X) are either minimal or maximal
David Yost Big Banach spaces are decomposable

Set Theoretic Topology

Jiling Cao Countable compactness of hyperspaces and Ginsburg's problems
Aneirin Glyn Near metric properties
Sina Greenwood Generalised reflection
Gary Gruenhage Metrizability number and perfect maps
Li Guangsheng Research on the embedding of a mapping space with the compact open topology
Melvin Henriksen A generalization of a theorem on biseparating maps
Adem Kilicman On the Generalization of Regular Lindelof Spaces
Junhui Kim Iterated Starcompact Topological Spaces
David McIntyre Compactifying functions
Abdul Mohamad Symmetric g Functions
Eva Murtinová Separation of dense subsets
Peter Nyikos New axioms and techniques in set-theoretic topology
Strashimir G. Popvassilev Base-cover paracompactness and uniform base-cover paracompactness
Jiang Shouli On Monotonically Orthocompact Spaces
H. Murat Tuncali On Perfectly Normal Compacta
Stephen Watson The shrinking property, Ramsey covers and finite hulls
Scott Williams The Topology of Metric Spaces
Richard G. Wilson Spaces in which compact subsets are closed and the lattice of T1-topologies on a set

Topological Groups and Semigroups and Their Actions

R. W. Heath Topological semigroups on linearly ordered topological spaces
Salvador Hernandez Interpolation sets and the Bohr topology of locally compact groups
Neil Hindman Order compactifications of discrete semigroups
Gerald Itzkowitz Uniformly R-factorizable groups
R. W. Knight The Vaught Conjecture: a counterexample
Ralph Kopperman Skew compact semigroups.
Hans-Peter A. Kunzi Quasi-uniformities on topological semigroups and completions
Joshua Leslie Diffeological Kac-Moody Lie Groups
Sidney A. Morris The Topology of Compact Groups
Peter Nickolas Coproducts of Abelian Topological Groups
Nandita Rath Action of convergence groups
Desmond A. Robbie More on Suitable Sets in Compact Semigroups
Mikhail Tkachenko Extensions of topological groups do not preserve countable compactness
Vladimir Uspenskiy On the group of isometries of the Urysohn universal metric space


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