query: Spheres and almost complex structures
positive_passages.docid: 22959
positive_passages.text: Does every even-dimensional sphere admit an almost complex structure?
negative_passages.docid: 24191
negative_passages.text: Computing the cohomology group of CW-Complex
negative_passages.docid: 50731
negative_passages.text: Isometries of the sphere $\mathbb{S}^{n}$
negative_passages.docid: 112901
negative_passages.text: Matrix on complex field.
negative_passages.docid: 80100
negative_passages.text: Boundary of product manifolds such as $S^2 \times \mathbb R$
negative_passages.docid: 44710
negative_passages.text: Vector space of real vectors over field complex scalars.
negative_passages.docid: 70082
negative_passages.text: Show: Quotient space is homeomorphic to unit sphere
negative_passages.docid: 152274
negative_passages.text: An exercise from Conway's Complex Analysis on an application of Schwarz's Lemma
negative_passages.docid: 154534
negative_passages.text: consider the following subsets of complex plane
negative_passages.docid: 59446
negative_passages.text: Universal property of universal bundles.
negative_passages.docid: 118288
negative_passages.text: Complex structure on $\mathbb S^1 \times \mathbb S^3$
negative_passages.docid: 64060
negative_passages.text: Is it possible to obtain a sphere from a quotient of a torus?
negative_passages.docid: 148685
negative_passages.text: Equivalences of definitions of submanifolds in $\mathbb{R^n}$
negative_passages.docid: 664
negative_passages.text: Minkowski's complex Euclidean space vs. the real pseudo-Euclidean version
negative_passages.docid: 4800
negative_passages.text: Is there a name for an algebraic structure like this?
negative_passages.docid: 89264
negative_passages.text: Connectedness in the Quotient Space
negative_passages.docid: 107943
negative_passages.text: Applications of Algebraic Topology to physics