M. A. Baranova, A. V. Ivanov, “On the spectral height of <nobr>$F$</nobr>-compact spaces”, Sibirsk. Mat. Zh., 2013, Volume 54, Number 3,Pages <nobr>498

This article is cited in 3 papers

On the spectral height of $F$-compact spaces

M. A. Baranova^a, A. V. Ivanov^b

^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.

UDC: 515.12

Received: 19.03.2012