query: Maps to Projective Space $\mathbb{P}^n _R$
positive_passages.docid: 27735
positive_passages.text: Morphism to Projective Space $\mathbb{P}^m$
negative_passages.docid: 2064
negative_passages.text: Finite subgroups of orthogonal transformations in $\mathbb{R}^3$
negative_passages.docid: 26112
negative_passages.text: Inclusion of $l^p$ space for sequences
negative_passages.docid: 115272
negative_passages.text: Showing that projections $\mathbb{R}^2 \to \mathbb{R}$ are not closed
negative_passages.docid: 16610
negative_passages.text: Surjectivity of a map from a space to itself
negative_passages.docid: 57269
negative_passages.text: A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
negative_passages.docid: 62711
negative_passages.text: Canonical map $R/(I\cap J)\rightarrow R/I\times _{R/(I+J)} R/J$ is an isomorphism
negative_passages.docid: 124333
negative_passages.text: A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?
negative_passages.docid: 110729
negative_passages.text: Maps to Sn homotopic
negative_passages.docid: 24561
negative_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 158011
negative_passages.text: $C_c^{\infty}(\mathbb R^n)$ is dense in $W^{k,p}(\mathbb R^n)$
negative_passages.docid: 85175
negative_passages.text: Continuous Images of $GL_n(\mathbb{R})$
negative_passages.docid: 15909
negative_passages.text: Bijection from $\mathbb R$ to $\mathbb {R^N}$
negative_passages.docid: 95074
negative_passages.text: Separability of $l^{p}$ spaces
negative_passages.docid: 64140
negative_passages.text: Find a bijection from $\mathbb R$ to $\mathbb R-\mathbb N$
negative_passages.docid: 93776
negative_passages.text: Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
negative_passages.docid: 44685
negative_passages.text: Inner product on $C(\mathbb R)$