Houston Problem Book Problem 208

From hyperspacewiki
Revision as of 16:51, 31 December 2015 by Tom (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Problem 208 (HPB): Suppose $X$ is the inverse limit of a sequence of Hausdorff continua such that each of them is a continuous image of a Hausdorff arc and the bonding maps are monotone surjections. Is $X$ also a continuous image of a Hausdorff arc? (Asked by J. Nikiel 21 April 1989)

Answer: Yes (J. Nikiel, H.M. Tuncali and E.D. Tymchatyn 29 June 1991)