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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 498–503
(Mi smj2435)
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This article is cited in 3 scientific papers (total in 3 papers)
On the spectral height of $F$-compact spaces
M. A. Baranovaa, A. V. Ivanovb a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
b Petrozavodsk State University, Faculty of Mathematics, Petrozavodsk, Russia
Abstract:
We prove that given an ordinal $\alpha$ with $0<\alpha\le\omega_1$ and $\alpha\ne\beta+1$, where $\beta$ is a limit ordinal, there exists an $F$-compact space of spectral height $\alpha$.
Keywords:
fully closed mapping, resolution, $F$-compact space, spectral height.
Received: 19.03.2012
Citation:
M. A. Baranova, A. V. Ivanov, “On the spectral height of $F$-compact spaces”, Sibirsk. Mat. Zh., 54:3 (2013), 498–503; Siberian Math. J., 54:3 (2013), 388–392
Linking options:
https://www.mathnet.ru/eng/smj2435 https://www.mathnet.ru/eng/smj/v54/i3/p498
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Abstract page: | 214 | Full-text PDF : | 77 | References: | 44 | First page: | 1 |
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