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Problems in Topology
- Here are some documents at Topology Atlas and some external links with problems in topology.
They are grouped as follows.
- Problems from Topology Atlas
- Problems from Topology Atlas Invited Contributions
- Collections of Problems
- Open Problems in Topology
- Topology Proceedinngs
- Conference reports
- Questions and Answers in General Topology
Problems from Topology Atlas
- Topology Q+A Board, Research In Topology
- Petr Simon, Two questions about connected compactifications
- Oleg Okunev, Does $i$-weight of a zero-dimensional space coincide with zero-dimensional $i$-weight?\
- Biago Ricceri, Conjecture no. 1, revised
- Umberto Marconi, Some questions about selections and orderability
- J. Gerlits, H.-P. A. Künzi, A. Losonczi, and Z. Szentmiklóssy, Introduction - The existence of compatible nontransitive totally bounded quasi-uniformities
- Mikhail Matveev, Some questions
- Andrej Bauer, When does the 0-dimensional Reflection Preserve Products?
- Michael Gormley and T. B. M. McMaster, A problem concerning embeddability
- Stephen Watson, Can Nice Spaces be Broken into Two Equal Parts?
- Attilio Le Donne, Can Nice Spaces be Broken into Two Equal Parts?
- Mikhail Matveev, Can Nice Spaces be Broken into Two Equal Parts?
- Oren Kolman, Are bounded products of barrelled normed spaces barrelled?
- Peter Biryukov and Valery Mishkin, A question on finitely additive measures
- E. Santillan, Peano Continua which fix the $n+1$-dimensional triodes
- Dave Renfro, Does there exist a Baire category version of a Nikodym set?
- Krzysztof Chris Ciesielski, Does there exist a uniformly antisymmetric function $f: R \to R$ with range being (a) finite? (b) bounded?
- Kenneth Kellum, Does Sarkovskii's Theorem hold for Darboux functions of Baire Class-1?
- Sonia Sabogal, Self-similarity
- F. G. Arenas and M. A. Sánchez-Granero, $S^1$ is a self-similar symbolic space
- Sonia Sabogal, The Sierpinski Triangle
- Oren Kolman, Quasi-minimal spaces in singular and successor cardinalities
- Stephen Watson, The Lakes of Wada Question
- Petr Simon, Lake of Wada: Answer to Problems 1 and 2
- Stephen Watson, The Clopen Group Question
- Melvin Heriksen and R. G. Woods, Cardinality of the ring of continuous functions on a product of two Tychonoff spaces
- Carl V. Manion, M.D., A Topology Problem on Protein Structures
- Ivan Yaschenko, Embedding a Smooth Compact Manifold into $R^n$
- Arthur Stone, Finite Closed Covers of the Sphere of Unit Radius in $R^n$
- Taras Radul, On Weakly Infinite Dimensional Metrizable Compacta
- Haruto Ohta, Do you know a normal, non-paracompact space $X$ for which the hyperspace $2^X$ of $X$ is not Dieudonne complete?
- Michael Zarichnyi, Imbedding of an $n$-Dimensional Topological Group
- Dmitri Shakhmatov, The completion of $Q^N$ provides an answer to a question of Zarichnyi
Problems from Topology Atlas Invited Contributions
- Steve Purisch, Orderability of Topological Spaces
- Jun Terasawa, Can the Cook curve construction be modified in some special way?
- Daniel Velleman, Questions for discussion: Capturing continuity of functions by families of sets
- Krzysztof Ciesielski, Dikran Dikranjan, and Stephen Watson, Functions characterized by images of sets
- F. G. Arenas and M. L. Puertas, Characterizing continuity in topological spaces
- William Richter, Are knots with $\pi_1 = Z$ determined by their complements?
- Jo Heath, Important questions in the study of k-to-1 maps
- Mary Ellen Rudin, Mary Ellen Rudin's problems on monotone normality
- Ofelia Teresa Alas, Question no. 2 on powers of openly homogeneous spaces
- Wayne Lewis, The Sierpinski universal plane curve provides an answer to a question of Ofelia Teresa Alas
Collections of Problems
- D. H. Fremlin, Problems
- J. Donald Monk, Problems concerning cardinal functions on Boolean algebras
- Janusz R. Prajs, Open Problems in Continuum Theory
- Biagio Ricceri, Some research perspectives in nonlinear functional analysis
- Xiao-Song Lin, Problems in Knot Theory
- A. V. Arhangel'skii, Some problems and lines of investigation in General Topology
- Eric K. van Douwen, Open problems in van Douwen's papers
- Jerry E. Vaughan, Small uncountable cardinals and topology
- A. V. Arhangel'skii, Some References and Open Problems on Condensations
- A. V. Arhangel'skii, Some Questions and References on Relative Topological Properties, Part 1
- Arnold W. Miller, Some interesting problems
- M. M. Zarichnyi, Open Problems in Infinite-Dimensional Topology, Category Topology and Topological Algebra
- Mladen Bestvina, Geometric Group Theory Problem List
- Dan Archdeacon, Problems in Topological Graph Theory
- Robion Kirby, Problems in low-dimensional topology
- Marion Scheepers, The Boise Problem Book
- Marion Scheepers, The Boise Problem Book
- Marion Scheepers, The Boise Problem Book
- Mark Hovey, Algebraic Topology Problem List
- Franz-Viktor Kuhlmann, Open Problems in Valuation Theory
- Juris Steprans, A category analogue of a Nikodym set
Open Problems in Topology
- Jan van Mill and G. M. Reed, Open problems in topology
- Here are PDF files for the entire original book and its individual
articles.
- Elliott Pearl, Open
problems in topology, seventh status report
- Elliott Pearl,
Open problems
in topology, Topology and its Applications
136 (2004) 1--3, pp. 37--85.
- This is a cumulative status report on
the 1100 problems listed in the original volume.
- Elliott Pearl, Open
Problems in Topology II, Elsevier, 2007.
- 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.
Table of Contents, 1995-2000
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1995-2008 by Topology Atlas.
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