Naslov
A note on theta-closed sets and inverse limits

Autori
Lončar, Ivan

Izvornik
Analele Universităţii "Ovidius" Constanţa Seria Matematică (1224-1784) 18 (2010); 161-172

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
H-closed; Inverse limits; theta-closed

Sažetak
For every Hausdorff space X the space X£ is introduced. If X is H-closed, then X£ is a quasy-compact T1-space. If f : X ! Y is a mapping, then there exists the mapping f£ : X£ ! Y£. We say that a mapping f : X ! Y is £-closed if f£ is a closed mapping. If X and Y are H-closed and if f : X ! Y is a HJ-mapping, then f£ is £-closed. Let X = {;Xa ; pab ; A}; be an inverse system of H-closed spaces Xa and £-closed bonding mappings fab. If Xa are non-empty spaces, then X = limX is non-empty. If the bonding mappings pab are HJ, then X = limX is non-empty and H-closed

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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