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Problems in combinatorial set theory and topology, collected by Marion Scheepers.
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Home Page  Here is a preliminary table of contents. Links and materials will be provided once prepared. Preface Chapter 1: Covering games and Memory. Chapter 2: Peculiar sets of real numbers and games. Chapter 3: Gdelta properties and games Chapter 4: The...
http://math.boisestate.edu/~marion/research/BoiseProblemBook/

Problems list in PostScript format.
http://www.math.berkeley.edu/~kirby/

Part of the Topology Atlas.
http://at.yorku.ca/topology/qintop.htm

John Conway's Thrackle Conjecture: a compilation of what is known about the question.
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thrackle.org  This drawing shows a few lines connecting a few points such that each two lines intersect each other exactly once when one counts common endpoints as intersections. Can one have more lines than points in this way? In this case...
http://www.thrackle.org/

Collection includes problems in set theory, continua, algabraic structures, analysis, and dynamics. Page includes glossary of terms. Links are in PDF.
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 The problem of obtaining separable noncompact examples PDF 0.5 MB by P. Nyikos 127 Set-theoretic problems in Moore spaces PDF 0.3 MB by G. M. Reed 163 Some Conjectures PDF 0.3 MB by M. E. Rudin 183 Small Uncountable Cardinals...
http://www1.elsevier.com/homepage/sac/opit/toc.htm