query: Homeomorphism between 2 metric spaces
positive_passages.docid: 20547
positive_passages.text: Homeomorphism that maps given points to given points
negative_passages.docid: 154978
negative_passages.text: Some equivalent formulations of compactness of a metric space
negative_passages.docid: 62479
negative_passages.text: A isometric map in metric space is surjective?
negative_passages.docid: 34699
negative_passages.text: A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism
negative_passages.docid: 70106
negative_passages.text: diameter on a compact metric space
negative_passages.docid: 33367
negative_passages.text: Homeomorphism definition
negative_passages.docid: 88981
negative_passages.text: Explicit Homeomorphism from $\mathbb{R}^2$ to open disk
negative_passages.docid: 157753
negative_passages.text: Show that any set in a metric space can be written as the intersection of open sets
negative_passages.docid: 140692
negative_passages.text: Existence of a complete metric on $(0,1)$
negative_passages.docid: 157597
negative_passages.text: Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
negative_passages.docid: 84004
negative_passages.text: Prove there is no contraction mapping from compact metric space onto itself
negative_passages.docid: 157296
negative_passages.text: Homeomorphism between the Unit Disc and Complex Plane
negative_passages.docid: 26794
negative_passages.text: Metrizability of Hausdorff continuous image of compact metric space
negative_passages.docid: 143043
negative_passages.text: When is a local homeomorphism a covering map?
negative_passages.docid: 69777
negative_passages.text: Show that, for every metric $d$, the metrics $d/(1+d)$ and $\min\{1,d\}$ are equivalent
negative_passages.docid: 15480
negative_passages.text: Open set in a metric space is union of closed sets
negative_passages.docid: 60868
negative_passages.text: Interplay of Hausdorff metric and Lebesgue measure