7 Kompaktheit Flashcards

1
Q

Was versteht man unter einer Überdeckung eines top. Raums?

Wann nennt man einen top. Raum kompakt?

Wann nennt man eine Teilmenge eines top. Raums kompakt?

A
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2
Q
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3
Q

Was besagt der Satz von Tychonoff?

A
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4
Q
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5
Q
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6
Q
A

Übung

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7
Q

Wann nennt man eine top. Raum abzählbar kompakt?

Wann nennt man einen top. Raum folgenkompakt?

A
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8
Q
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9
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10
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11
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12
Q
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13
Q
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14
Q

Was versteht man unter einer Kompaktifizierung eines topologischen Raumes?

A
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15
Q

Beschreibe das Kompaktifizierungsprinzip!

A
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16
Q
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17
Q

Was versteht man unter einer Stone-Cech Kompaktifizierung eines top. Raums?

A
18
Q
A
19
Q

Erläutere die 1-Punkt Kompaktifizierung eines top. Raums!

A