FROM THE INTRODUCTION: "This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, `Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied `Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field."
FROM THE INTRODUCTION: "This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, `Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied `Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field."
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
ISBN-13
978-0-444-88768-9 (9780444887689)
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Schweitzer Klassifikation
Set Theoretic Topology. Dow's Questions. Stepran's Problems. Tall's Problems. Problems I Wish I Could Solve. Weiss' Questions. Perfectly Normal Compacta, Cosmic Spaces, and Some Partition Problems. Open Problems on bv. On First Countable, Countably Compact Spaces III: The Problem of Obtaining Separable Noncompact Examples. Set-Theoretic Problems in Moore Spaces. Some Conjectures. Small Uncountable Cardinals and Topology. General Topology. A Survey of the Class MOBI. Problems on Perfect Ordered Spaces. The Point-Countable Base Problem. Some Open Problems in Densely Homogeneous Spaces. Large Homogeneous Compact Spaces. Some Problems. Questions in Dimension Theory. Continua Theory. Eleven Annotated Problems About Continua. Tree-Like Curves and Three Classical Problems. Topology and Algebraic Structures. Problems on Topological Groups and other Homogeneous Spaces. Problems in Domain Theory and Topology. Topology and Computer Science. Problems in the Topology of Binary Digital Images. On Relating Denotational and Operational Semantics for Programming Languages with Recursion and Concurrency. Algebraic and Geometric Topology. Problems on Topological Classification of Incomplete Metric Spaces. Problems about Finite-Dimensional Manifolds. A List of Open Problems in Shape Theory. Algebraic Topology. Problems in Knot Theory. Problems in Infinite-Dimensional Topology. Topology Arising from Analysis. Problems in C p -Theory. Problems in Topology Arising from Analysis. Dynamics. Continuum Theory and Topological Dynamics. One-Dimensional versus Two-Dimensional Dynamics. Index of General Terms. Index of Terms Used in the Problems.
