A spectral characterization of skeletal maps

• Autorzy: Taras Banakh , Andrzej Kucharski , Marta Martynenko
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Skeletal map; Inverse spectrum

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54B35: Spectra

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 1
• Strony: 161-169

Daty

wydano

2013-01-01

online

2012-10-24

Twórcy

autor

Taras Banakh

autor

Andrzej Kucharski

• University of Silesia

autor

Marta Martynenko

• Ivan Franko National University of Lviv

Bibliografia

• [1] Banakh T., Kucharski A., Martynenko M., On functors preserving skeletal maps and skeletally generated compacta, preprint available at http://arxiv.org/abs/1108.4197
• [2] Chigogidze A., Inverse Spectra, North-Holland Math. Library, 53, North-Holland Publishing, Amsterdam, 1996 http://dx.doi.org/10.1016/S0924-6509(96)80001-8
• [3] Engelking R., General Topology, Sigma Ser. Pure Math., 6, Heldermann, Berlin, 1989
• [4] Fedorchuk V., Chigogidze A.Ch., Absolute Retracts and Infinite-Dimensional Manifolds, Nauka, Moscow, 1992 (in Russian)
• [5] Mioduszewski J., Rudolf L., H-Closed and Extremally Disconnected Hausdorff Spaces, Dissertationes Math. (Rozprawy Mat.), 66, Polish Academy of Sciences, Warsaw, 1969

Identyfikatory

DOI

10.2478/s11533-012-0058-y