$\aleph _ 0$-point compactifications of locally compact spaces and product spaces
HTML articles powered by AMS MathViewer
- by Takashi Kimura PDF
- Proc. Amer. Math. Soc. 93 (1985), 164-168 Request permission
Abstract:
We give necessary and sufficient conditions for a locally compact space to have a compactification with countably infinite remainder. We also characterize the product space of two locally compact spaces having such a compactification.References
- George L. Cain Jr., Compact and related mappings, Duke Math. J. 33 (1966), 639–645. MR 200903
- George L. Cain Jr., Continuous preimages of spaces with finite compactifications, Canad. Math. Bull. 24 (1981), no. 2, 177–180. MR 619443, DOI 10.4153/CMB-1981-028-2
- George L. Cain, Richard E. Chandler, and Gary D. Faulkner, Singular sets and remainders, Trans. Amer. Math. Soc. 268 (1981), no. 1, 161–171. MR 628452, DOI 10.1090/S0002-9947-1981-0628452-5
- Richard E. Chandler and Fu-Chien Tzung, Remainders in Hausdorff compactifications, Proc. Amer. Math. Soc. 70 (1978), no. 2, 196–202. MR 487981, DOI 10.1090/S0002-9939-1978-0487981-3
- Takao Hoshina, Countable-points compactifications of product spaces, Tsukuba J. Math. 6 (1982), no. 2, 231–236. MR 705116, DOI 10.21099/tkbjm/1496159534
- K. D. Magill Jr., $N$-point compactifications, Amer. Math. Monthly 72 (1965), 1075–1081. MR 185572, DOI 10.2307/2315952
- Kenneth D. Magill Jr., Countable compactifications, Canadian J. Math. 18 (1966), 616–620. MR 198420, DOI 10.4153/CJM-1966-060-6
- Toshiji Terada, On countable discrete compactifications, General Topology and Appl. 7 (1977), no. 3, 321–327. MR 500840
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 164-168
- MSC: Primary 54D35; Secondary 54D40
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766549-9
- MathSciNet review: 766549