Abstract:
An intrinsic characterization of a Ponomarev–Zaitsev space ωϰX among other semiregular bicompact extensions (of a given Tλ-space X) is given in the paper. An example is constructed of a semiregular Hausdorff space Ω 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.
\Bibitem{Shc72}
\by E.~V.~Shchepin
\paper On the bicompact Ponomarev--Zaitsev extension and the so-called spectral parasite
\jour Math. USSR-Sb.
\yr 1972
\vol 17
\issue 2
\pages 317--326
\mathnet{http://mi.mathnet.ru/eng/sm3161}
\crossref{https://doi.org/10.1070/SM1972v017n02ABEH001507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=303506}
\zmath{https://zbmath.org/?q=an:0247.54022}
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https://doi.org/10.1070/SM1972v017n02ABEH001507
https://www.mathnet.ru/eng/sm/v130/i2/p316
This publication is cited in the following 3 articles:
P. M. Tamrazov, L. V. Kuz'min, A. V. Malyshev, V. G. Karmanov, S. A. Stepanov, I. P. Mysovskikh, E. G. Sobolevskaya, A. B. Bakushinskiǐ, V. S. Malakhovskiǐ, V. A. Iskovskikh, V. A. Pliss, S. G. Kreǐn, A. S. Kholevo, I. V. Volovich, M. K. Polivanov, V. G. Drinfel'd, H. Maassen, L. Accardi, E. D. Solomentsev, A. F. Leont'ev, A. N. Ermilov, A. M. Kurbatov, B. A. Efimov, V. A. Zorich, N. N. Vil'yams, D. V. Anosov, L. A. Sidorov, A. I. Shtern, A. B. Ivanov, L. A. Skornyakov, V. A. Zalgaller, V. D. Belousov, N. S. Kukushkin, R. A. Minlos, D. K. Gvazava, I. A. Vatel, F. I. Ereshko, V. V. Fedorchuk, Yu. V. Komlenko, E. L. Tonkov, I. P. Shestakov, V. K. Ivanov, A. A. Borovkov, C. M. Ringel, A. V. Arkhangel'skiǐ, V. M. Millionshchikov, Encyclopaedia of Mathematics, 1995, 627
Michiel Hazewinkel, Encyclopaedia of Mathematics, 1991, 375
P. S. Aleksandrov, V. V. Fedorchuk, V. I. Zaitsev, “The main aspects in the development of set-theoretical topology”, Russian Math. Surveys, 33:3 (1978), 1–53
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