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© L. Plümer 1 Punktmengentopologie Beziehungen zwischen Punktmengen.

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Presentation on theme: "© L. Plümer 1 Punktmengentopologie Beziehungen zwischen Punktmengen."— Presentation transcript:

1 © L. Plümer 1 Punktmengentopologie Beziehungen zwischen Punktmengen

2 © L. Plümer 2 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y XYXY

3 © L. Plümer 3 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y XYXY

4 © L. Plümer 4 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y XYXY

5 © L. Plümer 5 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y not X inside Y XYXY

6 © L. Plümer 6 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y not X inside Y not not Y inside X XYXY

7 © L. Plümer 7 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y not X inside Y not not Y inside X not not X covers Y XYXY

8 © L. Plümer 8 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y not X inside Y not not Y inside X not not X covers Y not Y covers X XYXY

9 © L. Plümer 9 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjoint Y not X meets Y not X equals Y not X inside Y not not Y inside X not not X covers Y not Y covers X not X overlaps Y XYXY

10 © L. Plümer 10 Topologische Relationen X YX° Y° X Y°X° Y Operation X disjunkt Y not X trifft Y not X gleicht Y not X innerhalb Y not Y überdeckt X not not Y innerhalb X not not X überdeckt Y not X überlappt Y


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