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15
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Showing that the Hopf fibration is a non-trivial fibre bundle

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#differential-geometry #fiber-bundles #group-cohomology #hopf-fibration #obstruction-theory
190
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Hopf map visualization (animation request)

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#general-topology #homotopy-theory #visualization #hopf-fibration
370
Views

Calculating The Fundamental Group of the Hopf Fibration

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#algebraic-topology #fundamental-groups #fiber-bundles #hopf-fibration
922
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Hopf fibration and exact sequence in homotopy

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#reference-request #algebraic-topology #homotopy-theory #exact-sequence #hopf-fibration
690
Views

What is $\pi_{31}(S^2)$?

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#homotopy-theory #hopf-fibration
924
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Global Section for Hopf Fibration

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#algebraic-topology #riemannian-geometry #fiber-bundles #hopf-fibration
1.2k
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Hopf fibration and $\pi_3(\mathbb{S}^2)$

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#reference-request #algebraic-topology #homotopy-theory #hopf-fibration
1.1k
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Pullback of a form using the Hopf fibration

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#differential-geometry #manifolds #differential-forms #hopf-fibration
210
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How to show that the map $\pi: z\mapsto ziz^*$ is onto $S^2$?

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#differential-geometry #algebraic-topology #quaternions #hopf-fibration
40
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Largest elementary neighbourhood

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#smooth-manifolds #projective-space #spherical-geometry #principal-bundles #hopf-fibration
433
Views

Techniques for computing the Brouwer degree of a smooth map

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#differential-geometry #algebraic-topology #differential-topology #hopf-fibration
1.9k
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Visualizing Hopf fibration $S^3\to S^2$ as a based map $S^1\to \mathrm{Map}(S^2,S^2)$

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#algebraic-topology #homotopy-theory #fiber-bundles #visualization #hopf-fibration
65
Views

Is there an analogue of the Hopf map for finite fields?

Published on
#finite-fields #hopf-fibration
750
Views

Distance function on the complex projective space

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#riemannian-geometry #smooth-manifolds #complex-geometry #fibration #hopf-fibration
80
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Is there an analogue of the hopf fibration for the hemisphere off $S^3$?

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#fiber-bundles #spherical-geometry #hopf-fibration

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