query: Property of a euclidean map
positive_passages.docid: 26641
positive_passages.text: Problem about the definition of Euclidean domain
negative_passages.docid: 6227
negative_passages.text: Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
negative_passages.docid: 138944
negative_passages.text: Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
negative_passages.docid: 54957
negative_passages.text: The necessary and sufficient condition for a unit element in Euclidean Domain
negative_passages.docid: 138167
negative_passages.text: Image of a normal space under a closed and continuous map is normal
negative_passages.docid: 50037
negative_passages.text: Proving that kernels of evaluation maps are generated by the $x_i - a_i$
negative_passages.docid: 132641
negative_passages.text: Proving that Euclidean Space is a complete metric space
negative_passages.docid: 142652
negative_passages.text: When is the product of two quotient maps a quotient map?
negative_passages.docid: 52629
negative_passages.text: Example 1, Sec. 22 in Munkres' TOPOLOGY, 2nd edition: How to verify that this map is closed?
negative_passages.docid: 127631
negative_passages.text: On a conformal mapping
negative_passages.docid: 1020
negative_passages.text: Proving that $\mathbb{Z}[\sqrt{2}]$ is a Euclidean domain
negative_passages.docid: 143043
negative_passages.text: When is a local homeomorphism a covering map?
negative_passages.docid: 88857
negative_passages.text: Prove that Gauss map on M is surjective
negative_passages.docid: 3775
negative_passages.text: How many maps $\phi:\Bbb{N}\to\Bbb{N}$ are there with $\phi(ab) = \phi(a)+\phi(b)$?
negative_passages.docid: 27757
negative_passages.text: $\mathbb{R}\to\mathbb{R}$ Diffeomorphism with special property
negative_passages.docid: 153204
negative_passages.text: Euclidean domain $\mathbb{Z}[\sqrt{d}]$
negative_passages.docid: 5802
negative_passages.text: Proving the universal mapping property for polynomial rings