Boundaries of upper semicontinuous set valued maps

• Autorzy: Iwo Labuda
• Języki publikacji: EN

Abstrakty

EN

Let \(x_0\) be a q-point of a regular space \(X, Y\) a Hausdorff space whose relatively countably compact subsets are relatively compact and let \(F\colon X \to Y\) be an upper semicontinuous set valued map. Then the active boundary \(\operatorname{Frac} F (x_0)\) is the smallest compact kernel of \(F\) at \(x_0\).

Słowa kluczowe

EN

Upper semicontinuous set valued map; active boundary; Choquet kernel; Vaı̆ns̆teı̆n-Choquet-Dolecki Theorem; compact filter base

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 2

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

Iwo Labuda

Identyfikatory

DOI

10.14708/cm.v45i2.5202