query: Metric induced by a surjective mapping
positive_passages.docid: 26794
positive_passages.text: Metrizability of Hausdorff continuous image of compact metric space
negative_passages.docid: 38033
negative_passages.text: A surjective linear map into a finite dimensional space is open
negative_passages.docid: 83159
negative_passages.text: Defining a metric space
negative_passages.docid: 27517
negative_passages.text: Isometry in compact metric spaces
negative_passages.docid: 121218
negative_passages.text: Is this function a metric?
negative_passages.docid: 148500
negative_passages.text: Understanding this theorem and how to go about proving it surjectivity?
negative_passages.docid: 49374
negative_passages.text: Closure of a subset in a metric space
negative_passages.docid: 139779
negative_passages.text: Homotopic maps have homotopy equivalent mapping cones
negative_passages.docid: 128598
negative_passages.text: How to prove this is a metric?
negative_passages.docid: 124688
negative_passages.text: Question about a metric on $\mathbb{R}^2$
negative_passages.docid: 123061
negative_passages.text: $X$ metric separable then $C(X)$ separable
negative_passages.docid: 42266
negative_passages.text: Show that $d(x,y)=\min \{1,|x-y|\}$ is a metric on $\mathbb R$
negative_passages.docid: 59833
negative_passages.text: Isometric embedding of Schwarzchild metric in $\mathbb{R}^4$
negative_passages.docid: 63146
negative_passages.text: Proof of properties of injective and surjective functions.
negative_passages.docid: 77867
negative_passages.text: Existence of a Riemannian metric inducing a given distance.
negative_passages.docid: 70106
negative_passages.text: diameter on a compact metric space
negative_passages.docid: 33859
negative_passages.text: How to show that a disjoint sum of metric spaces is metrizable?