Spaces betweenX and its Freudenthal compactification |
| |
Authors: | James Hatzenbuhler A. Don Mattson |
| |
Affiliation: | (1) Mathematics Department, Moorhead State University, P.O. Box 408, 56563 Moorhead, MN, USA |
| |
Abstract: | Let X indicate the Freudenthal compactification of a rimcompact, completely regular Hausdorff spaceX. In this paper the spacesY which satisfyXYX are characterized. From this a characterization of whenX lies between its locally compact partL(X) and (L(X)) follows. Such spaces necessarily possess a compactification X for whichClX(X–X) is 0-dimensional. Conditions, including those internal toX, are provided which are necessary and sufficient for this property to hold.This research was partially supported by a grant from Moorhead State University. |
| |
Keywords: | Primary 54D35 |
本文献已被 SpringerLink 等数据库收录! |
|