query: Closed unit disk is not homeomorphic to the real plane R^2?
positive_passages.docid: 149971
positive_passages.text: Closed unit disk homeomorphic to $\mathbb{R}^2$?
negative_passages.docid: 116507
negative_passages.text: Very quick question: function extends to 1/z on the boundary of unit disc
negative_passages.docid: 84189
negative_passages.text: Is $\mathbb{C}$ equal to $\mathbb{R}^2$?
negative_passages.docid: 32205
negative_passages.text: Topology on the real numbers such that all polynomials are continuous but cosine is not continuous
negative_passages.docid: 143831
negative_passages.text: Showing $\mathbb{Q}$ is homeomorphic to $\mathbb{Q}^2$
negative_passages.docid: 88474
negative_passages.text: $\mathbb{A}^{2}$ not isomorphic to affine space minus the origin
negative_passages.docid: 85586
negative_passages.text: Proving $\mathbb{Q}$ isn't homeomorphic to $\mathbb{Z}$
negative_passages.docid: 11405
negative_passages.text: If a nonempty set of real numbers is open and closed, is it $\mathbb{R}$? Why/Why not?
negative_passages.docid: 63731
negative_passages.text: Can we characterize the Möbius transformations that maps the unit disk into itself?
negative_passages.docid: 2198
negative_passages.text: Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
negative_passages.docid: 86537
negative_passages.text: Prove that an open interval and a closed interval are not homeomorphic
negative_passages.docid: 136287
negative_passages.text: Separate real and imaginary part of $\arccos(z)$
negative_passages.docid: 157296
negative_passages.text: Homeomorphism between the Unit Disc and Complex Plane
negative_passages.docid: 84301
negative_passages.text: Showing that some Function on the Unit Disc is injective
negative_passages.docid: 117508
negative_passages.text: Prove that the closed unit ball of $L^2[a,b]$ is closed in $L^1[a,b]$
negative_passages.docid: 126463
negative_passages.text: Can open sets and closed sets of $\mathbb{R}^n$ be homeomorphic?
negative_passages.docid: 85092
negative_passages.text: Proving $ f(x) = x^2 $ is not uniformly continuous on the real line