4.8 Produkt und Summe topologischer Räume Flashcards
1
Q
Erläutere die Konstruktion eines topologsichen Produkts und die Produkttopologie!
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/631/a_image_thumb.jpg?1615158866)
2
Q
Erläutere die Produkttopologie
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/633/a_image_thumb.jpg?1615158867)
3
Q
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/125/q_image_thumb.jpg?1607200771)
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/125/a_image_thumb.jpg?1607200771)
4
Q
Welche Aussagen gelten für die Produktmetrik?
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/634/a_image_thumb.jpg?1615158867)
5
Q
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/126/q_image_thumb.jpg?1607200772)
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/126/a_image_thumb.jpg?1607200772)
6
Q
Wann ist der Produktraum einer Familie von metrischen Räumen nicht metrisierbar?
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/635/a_image_thumb.jpg?1615158868)
7
Q
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/127/q_image_thumb.jpg?1607200773)
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/127/a_image_thumb.jpg?1607200773)
8
Q
Beschreibe das Produkt von Abbildungen und wann es stetig ist!
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/636/a_image_thumb.jpg?1615158868)
9
Q
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/128/q_image_thumb.jpg?1607200774)
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/128/a_image_thumb.jpg?1607200774)
10
Q
Erläutere die Konstruktion der Summentopologie!
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/338/658/632/a_image_thumb.jpg?1615158866)
11
Q
Erläutere die Konstruktion der Summentopologie!
A
![](https://s3.amazonaws.com/brainscape-prod/system/cm/329/299/124/a_image_thumb.jpg?1607200770)