Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access October 24, 2012

A spectral characterization of skeletal maps

  • Taras Banakh EMAIL logo , Andrzej Kucharski and Marta Martynenko
From the journal Open Mathematics


We prove that a map between two realcompact spaces is skeletal if and only if it is homeomorphic to the limit map of a skeletal morphism between ω-spectra with surjective limit projections.

MSC: 54B35; 54C10

[1] Banakh T., Kucharski A., Martynenko M., On functors preserving skeletal maps and skeletally generated compacta, preprint available at Search in Google Scholar

[2] Chigogidze A., Inverse Spectra, North-Holland Math. Library, 53, North-Holland Publishing, Amsterdam, 1996 in Google Scholar

[3] Engelking R., General Topology, Sigma Ser. Pure Math., 6, Heldermann, Berlin, 1989 Search in Google Scholar

[4] Fedorchuk V., Chigogidze A.Ch., Absolute Retracts and Infinite-Dimensional Manifolds, Nauka, Moscow, 1992 (in Russian) Search in Google Scholar

[5] Mioduszewski J., Rudolf L., H-Closed and Extremally Disconnected Hausdorff Spaces, Dissertationes Math. (Rozprawy Mat.), 66, Polish Academy of Sciences, Warsaw, 1969 Search in Google Scholar

Published Online: 2012-10-24
Published in Print: 2013-1-1

© 2012 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 6.6.2023 from
Scroll to top button