Open Problems in Topology II

by Pearl

• ISBN13: 9780444522085
• ISBN10: 0444522085
• Format: Hardcover
• Copyright: 2007-04-20
• Publisher: Elsevier Science

Summary

This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world

Table of Contents

General Topology

Selected ordered space problems

Problems on star-covering properties

Function space topologies

Spaces and mappings: special networks

Extension problems of real-valued continuous functions

LE(k)-spaces

Problems on (ir) resolvability

Topological games and Ramsey theory

Selection principles and special sets of reals

Set-theoretic Topology

Introduction: Twenty problems in set-theoretic topology

Thin-tall spaces and cardinal sequences

Sequential order

On D-spaces

The fourth head of BN

Are stratifiable spaces M1?

Perfect compacta and basis problems in topology

Selection problems for hyperspaces

Efimov's problem

Completely separable MAD families

Good, splendid and Jakovlev

Homogeneous compacta

Compact spaces with hereditarily normal squares

The metrization problem for Frechet groups

Cech-Stone remainders of discrete spaces

First countable, countably compact, noncompact spaces

Linearly Lindelöf problems

Small Dowker spaces

Reflection of topological properties to N1

The Scarborough-Stone problem

Continuum Theory

Questions in and out of context

An update on the elusive fixed-point property

Hyperspaces of continua

Inverse limits and dynamical systems

Indecomposable continua

Open problems on dendroids

½-Homogeneous continua

Thirty open problems in the theory of homogeneous continua

Topological Algebra

Problems about the uniform structures of topological groups

On some special classes of continuous maps

Dense subgroups of compact groups

Selected topics from the structure theory of topological groups

Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups

Topological transformation groups: selected topics

Forty-plus annotated questions about large topological groups

Dynamical Systems

Minimal flows

The dynamics of tiling spaces

Open problems in complex dynamics and "complex" topology

The topology and dynamics of flows

Computer Science

Computational topology

Functional Analysis

Non-smooth analysis, optimisation theory and Banach space theory

Topological structures of ordinary differential equations

The interplay between compact spaces and the Banach spaces of their continuous functions

Tightness and t-equivalence

Topological problems in nonlinear and functional analysis

Twenty questions on metacompactness in function spaces

Di

Table of Contents provided by Publisher. All Rights Reserved.