Geodesic
Hausdorff Compactifications as Epireflections
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 675-677

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DOI

We answer the following problem posed by Herrlich in the affirmative: “Can the Freudenthal compactification be regarded as a reflection in a sensible way?” This is accomplished by exploiting the one-to-one correspondence between proximities compatible with a given Tihonov space and compactifications of that space. We give topological characterizations of proximally continuous functions for the proximities associated with the Freudenthal and Fan-Gottesman compactifications.
DOI : 10.4153/CMB-1974-122-0
Mots-clés : 54C10, 54D35, 54E05, 54E10, 18A40, 18A99, 54D30, Proximity space, proximally continuous, Freudenthal compactification, epireflection, semi-compact, Fan-Gottesman compactification 
Hunsaker, W. N.; Naimpally, S. A. Hausdorff Compactifications as Epireflections. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 675-677. doi: 10.4153/CMB-1974-122-0
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     author = {Hunsaker, W. N. and Naimpally, S. A.},
     title = {Hausdorff {Compactifications} as {Epireflections}},
     journal = {Canadian mathematical bulletin},
     pages = {675--677},
     year = {1975},
     volume = {17},
     number = {5},
     doi = {10.4153/CMB-1974-122-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-122-0/}
}
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