Properties of one-point completions of a noncompact metrizable space
Melvin Henriksen, Ludvík Janoš, Grant R. Woods (2005)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
If a metrizable space is dense in a metrizable space , then is called a of . If and are metric extensions of and there is a continuous map of into keeping pointwise fixed, we write . If is noncompact and metrizable, then denotes the set of metric extensions of , where and are identified if and , i.e., if there is a homeomorphism of onto keeping pointwise fixed. is a large complicated poset studied extensively by V. Bel’nov [, Trans. Moscow Math....