Centered Bases, Nested Bases, and Completability of Aronszajn Spaces
Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1331-1335

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Definition. [1] A base B for the topology of a space S is centered provided every perfectly decreasing filterbase F in B is regular and either F is free or F converges. A centered base which contains no free perfectly decreasing filterbase is said to be complete.
Phillips, Thomas M. Centered Bases, Nested Bases, and Completability of Aronszajn Spaces. Canadian journal of mathematics, Tome 30 (1978) no. 6, pp. 1331-1335. doi: 10.4153/CJM-1978-110-7
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[1] 1. Green, J. W., Moore-closed spaces, completeness and centered bases, Gen. Top. and Appl. 4 (1974), 297–313. Google Scholar

[2] 2. Green, J. W., Completion and semicompletion of Moore spaces, Pac. J. Math. 57 (1975), 153—165. Google Scholar

[3] 3. Nyikos, P. J., Some surprisng base properties in topology, Proc. Topology Conf. (Univ. of North Carolina, Charlotte, N.C.) (Academic Press, New York, 1974), 427–450. Google Scholar

[4] 4. Phillips, T. M., Some observations on semicompletable Moore spaces, Proc. Topology Conf. Ohio University, Athens, Ohio) (Academic Press, New York, 1977), 313–324. Google Scholar

[5] 5. Phillips, T. M., An example in Baire space embeddings, Notices Amer. Math. Soc. 2J+ (1977), A-264. Google Scholar

[6] 6. Phillips, T. M., Primitive extensions of Aronszajn spaces, to appear, Pac. J. Math. Google Scholar

[7] 7. Pixley, C. and Roy, P., Uncompletable Moore spaces, Proc. Topology Conf. (Auburn University, Auburn, Ala.) 1969, 75–85. Google Scholar

[8] 8. Reed, G. M., Concerning completable Moore spaces, Proc. Amer. Math. Soc. 36 (1972), 591–596. Google Scholar

[9] 9. Rudin, M. E., Concerning abstract spaces, Duke Math. J. 17 (1950), 317–327. Google Scholar

[10] 10. Rudin, M. E., Separation in non-separable spaces, Duke Math. J. 18 (1951), 623–629. Google Scholar

[11] 11. Wicke, H. H. and Worrell, J. M., Jr., Topological completeness in first countable Hausdorff spaces I, Fund. Math. 75 (1972), 209–222. Google Scholar

[12] 12. Wicke, H. H. and Worrell, J. M., The local implies global characteristic of primitive sequences, Proc. Topology Conf. Memphis State University, Memphis, Tenn. (Marcell Dekker, New York, 1976), 269–282. Google Scholar

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