0
votes
1answer
31 views

Hausdorff distance and union of sets

Let $X$ be a metric space; $A_1$, $A_2$, $B_1$, $B_2$ be non-empty subsets in $X$. Let $d(\cdot,\cdot)$ be the Hausdorff distance between sets in $X$. Then $$ d (A_1 \cup A_2 , B_1 \cup B_2) \leq \max ...
2
votes
1answer
94 views

Manifold geometry and Non - Euclidean geometry

What is the difference between Manifold geometry and Non-Euclidean geometry; what connection is there between them?