Geodesic
On the bicompact Ponomarev–Zaitsev extension and the so-called spectral parasite
Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 317-326 
E. V. Shchepin. On the bicompact Ponomarev–Zaitsev extension and the so-called spectral parasite. Sbornik. Mathematics, Tome 17 (1972) no. 2, pp. 317-326. http://geodesic.mathdoc.fr/item/SM_1972_17_2_a10/
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     author = {E. V. Shchepin},
     title = {On the bicompact {Ponomarev{\textendash}Zaitsev} extension and the so-called spectral parasite},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An intrinsic characterization of a Ponomarev–Zaitsev space $\omega_\varkappa X$ among other semiregular bicompact extensions (of a given $T_\lambda$-space $X$) is given in the paper. An example is constructed of a semiregular Hausdorff space $\Omega$ which is countable and has a countable base and whose spectrum over the family of all of its partitions is a spectral parasite. Bibliography: 7 titles.

[1] E. V. Schepin, “O prostranstvakh, blizkikh k normalnym, i ikh bikompaktnykh rasshireniyakh”, DAN SSSR, 191:2 (1970), 295–297 | Zbl

[2] V. I. Ponomarev, “Parakompakty, ikh proektsionnye spektry i nepreryvnye otobrazheniya”, Matem. sb., 60(102) (1963), 89–119 | MR | Zbl

[3] V. I. Zaitsev, “Beskonechnye spektry topologicheskikh prostranstv i ikh predelnye prostranstva”, DAN SSSR, 185:1 (1969), 20–23 | MR

[4] V. Zaicev, “Finite spectra of topological spaces and their limit spaces”, Math. Ann., 179 (1969), 153–174 | DOI | MR

[5] A. H. Stone, “Paracompacthess and product spaces”, Bull. Amer. Math. Soc., 54 (1948), 977–982 | DOI | MR | Zbl

[6] B. A. Efimov, “Diadicheskie bikompakty”, Trudy Mosk. matem. ob-va, XIV (1965), 211–247 | MR

[7] Isbell, Uniform spaces, Providence, 1964