query: almost complex structures on $R^4$
positive_passages.docid: 16860
positive_passages.text: set of almost complex structures on $\mathbb R^4$ as two disjoint spheres
negative_passages.docid: 82824
negative_passages.text: Affine algebraic subset of $\mathbb{A}_k^4$
negative_passages.docid: 84686
negative_passages.text: Geometric Description Of a Set In The Complex Plane
negative_passages.docid: 24168
negative_passages.text: A characterisation of quadratic extensions contained in cyclic extensions of degree 4
negative_passages.docid: 44710
negative_passages.text: Vector space of real vectors over field complex scalars.
negative_passages.docid: 116378
negative_passages.text: Nonhomeomorphic subsets of the plane
negative_passages.docid: 145220
negative_passages.text: Homology Groups of $S^n$
negative_passages.docid: 74128
negative_passages.text: Second exterior power of a complex vector space
negative_passages.docid: 92420
negative_passages.text: Characteristic of  a Non-unital Integral Ring
negative_passages.docid: 115541
negative_passages.text: Subrings of polynomial rings over the complex plane
negative_passages.docid: 53327
negative_passages.text: $C_2 \times C_2$ and $C_4$
negative_passages.docid: 132063
negative_passages.text: locally on $S$ one of the coordinates is a $C^∞$ function of the other coordinate. Show that $S$ is a submanifold of $R^2$
negative_passages.docid: 97637
negative_passages.text: Showing that isotropy groups are submanifolds
negative_passages.docid: 71791
negative_passages.text: Smooth structure of embedded submanifolds
negative_passages.docid: 148685
negative_passages.text: Equivalences of definitions of submanifolds in $\mathbb{R^n}$
negative_passages.docid: 13262
negative_passages.text: $\mathbb{R}P^4$ and $\mathbb{R}P^6$ do not admit fields of tangent $2$-planes
negative_passages.docid: 64993
negative_passages.text: Connectedness of the $S^2$ sphere