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On compactifications with path connected remainders |
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| Authors: | Jan J. Dijkstra |
| Affiliation: | Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De~Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands |
| Abstract: | We prove that every separable and metrizable space admits a metrizable compactification with a remainder that is both path connected and locally path connected. This result answers a question of P. Simon. |
| Keywords: | Separable metric space compactification remainder path connected locally path connected. |
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