Problems

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The Houston Problem Book (pdf)
The Houston Problem Book (wiki)

Open problems in continuum theory (html)
Open problems in continuum theory (wiki)

Pavel Pyrih Problem Book (html)
Pavel Pyrih Problem Book (wiki)

Inverse limits with upper semi-continuous bonding functions, problems and some partial solutions (pdf)
Inverse limits with upper semi-continuous bonding functions problems (wiki)

Problems from the book A. Illanes and S. B. Nadler, Jr., Hyperspaces: Fundamentals and Recent Advances, Pure and Applied Mathematics, Marcel Dekker, Inc., New York, 1999.

Page Problem Solved?
p.205 23.2: Let $Y$ be a connected, locally connected metric space. Then does Theorem 23.1 hold for CLC(Y)? ?
p.210 24.7: Is Theorem 24.6 true without the hypothesis that $X$ is locally connected? ?
p.211 24.8: Is $F(X)$ unicoherent for every continuum $X$? ?
p.214 24.14: Give necessary and/or sufficient conditions for a continuum $X$ to have a confluent Whitney map. ?
p.214 24.15: If $X$ is an hereditarily indecomposable continuum, does $2^X$ have monotone Whitney maps? ?
p.214 24.16: If $X$ is an hereditarily indecomposable continuum, can $2^X$ have monotone Whitney maps? ?
p.215 24.18: Let $X$ be a continuum. What topological properties do the Whitney levels of open Whitney maps for $2^X$ have? ?
p.233 27.2:Is there a strong Whitney-reversible property which is not a sequential strong Whitney-reversible property? Solved
p.250 33.13: Is the property of being uniformly pathwise connected a Whitney property? Is this property a Whitney-reversible property (strong Whitney-reversible property, sequential strong Whitney-reversible property)? Solved


Problems from the book S. B. Nadler, Jr., Hyperspaces of sets, Monographs and Textbooks in Pure and Applied Math., Vol. 49, Marcel Dekker, Inc., New York, N.Y., 1978.

Page Problem Solved?