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Stereographic projection of Hopf map

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#general-topology #stereographic-projections #hopf-fibration
440
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Hopf map by complex numbers

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#general-topology #fiber-bundles #hopf-fibration
44
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$\mathbb{S}^1$-action and octonionic multiplication can be associated

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#projective-space #spheres #octonions #hopf-fibration
552
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Prove that $\pi:S^3\rightarrow \mathbb{P}^1(\mathbb{C})\cong S^2$ is a submersion

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#differential-geometry #projective-space #spheres #hopf-fibration
255
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Understanding terminology of, fibers, clutchings and Hopf.

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#differential-geometry #fiber-bundles #k-theory #octonions #hopf-fibration
2k
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Understanding the Hopf fibration

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#geometric-topology #low-dimensional-topology #hopf-fibration
11.8k
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What are all these "visualizations" of the 3-sphere?

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#geometry #general-topology #visualization #hopf-fibration
78
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Strategy for proving a set is the fiber of a (possible) fiber bundle $p: E\to B$

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#differential-topology #fiber-bundles #hopf-fibration
185
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'polar' forms of quaternions

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#rotations #quaternions #hopf-fibration
155
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A spinorial generalization of the Hopf map

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#clifford-algebras #spin-geometry #hopf-fibration
678
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Why is $\pi_7(\mathbb S^4)=\mathbb Z \oplus \mathbb Z_{12}$?

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#algebraic-topology #differential-topology #hopf-fibration
177
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Hopf fibration. Checking local triviality.

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#algebraic-topology #fiber-bundles #hopf-fibration
851
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Relating hyperspherical and Hopf coordinates for the unit three sphere

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#differential-geometry #spherical-coordinates #spheres #change-of-basis #hopf-fibration
286
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Geometrically seeing the linking of the fibres in the Hopf fibration?

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#general-topology #fibration #hopf-fibration
135
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Distance in Hopf coordinates

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#differential-geometry #coordinate-systems #spheres #hopf-fibration

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