J. Grispolakis and E.D. Tymchatyn, "σ-connectednes in hereditarily locally connected spaces", Trans. Amer. Math. Soc., vol. 253, pp. 303-315, September 1979.
In this paper we generalize the notion of finitely Susliman to noncompact spaces. Weprove that there is a class of spaces, which includes the class of planarhereditarily locally connected spaces and the finitely Suslinian spaces, andwhich are weakly o-connected, thus, answering the above question in thenegative. We also prove that arcwise connected, hereditarily locally connected,planar spaces are locally arcwise connected. This answer