Geodesic
Extensions of Closure Spaces
Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1277-1286

Voir la notice de l'article provenant de la source Cambridge University Press

Extension theory has been intensively studied for completely regular spaces and is fairly well developed for T0-topological spaces. (See, for example, [1] and [5]). However, except for definitions of some of the basic concepts in [4] and results on embedding of closure spaces in cubes in [2] and [7], ours is the first study of the general theory of extensions of G0-closure spaces. (Definitions will be given following these introductory paragraphs). 
Chattopadhyay, K. C.; Thron, W. J. Extensions of Closure Spaces. Canadian journal of mathematics, Tome 29 (1977) no. 6, pp. 1277-1286. doi: 10.4153/CJM-1977-127-6
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[1] 1. Banaschewski, B., Extensions of topological spaces, Can. Math. Bull. 7 (1964), 1–22. Google Scholar

[2] 2. Cech, E., Topological spaces, rev. ed. (Publ. House Czech. Acad. Sc. Prague, English transi. Wiley, New York, 1966). Google Scholar

[3] 3. Gagrat, M.S. and Naimpally, S. A., Proximity approach to extension problems, Fund. Math. 71 (1971), 63–76. Google Scholar

[4] 4. Gagrat, M. S. and Thron, W. J., Nearness structures and proximity extensions, Trans. Amer. Math. Soc. 208 (1975), 103–125. Google Scholar

[5] 5. Thron, W. J., Topological structures (Holt, Rinehart and Winston, New York, 1966). Google Scholar

[6] 6. Thron, W. J. Proximity structures and grills, Math. Ann. 206 (1973), 35–62. Google Scholar

[7] 7. Thron, W. J. and Warren, R. H., On the lattice of proximities of Cech compatible with a givenclosure space, Pac. J. Math. 49 (1973), 519–535. Google Scholar

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