# Houston Problem Book Problem 208

**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)