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Is the Hairy Ball Theorem equivalent to saying that the Hopf Fibration has no global sections?

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#general-topology #algebraic-topology #differential-topology #fiber-bundles #hopf-fibration
128
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What singular link is this?

Published on
#geometry #algebraic-topology #knot-theory
358
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Group homomorphism induces cohomology homomorphism

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#algebraic-topology #homology-cohomology #homological-algebra #cohomology-operations
181
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Homotopy groups of connected components

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#algebraic-geometry #algebraic-topology #category-theory #homotopy-theory
1k
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Hatcher Exercise 3.2.9

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#abstract-algebra #ring-theory #algebraic-topology #homology-cohomology #group-homomorphism
547
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Threading a two-holed torus which is hanging on a string.

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#general-topology #algebraic-topology
128
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Does there exist a triple point map?

Published on
#algebraic-topology #continuity #manifolds #fixed-point-theorems
207
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How to compute the homology groups of spherical space forms?

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#algebraic-topology
329
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The naturality of the cone construction

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#algebraic-topology
573
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Why Quillen equivalence is used to define "equivalent" model categories?

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#algebraic-topology #category-theory #homotopy-theory #model-categories
296
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Cohomology and Eilenberg-MacLane spaces

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#algebraic-topology
200
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Generalized Eilenberg-MacLane spaces

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#algebraic-topology
81
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Lower bound of embedding dimension for finite CW-Complex of dimension $d$

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#general-topology #algebraic-topology #differential-topology #geometric-topology
146
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Surjectivity of sending loop from fundamental group to the endpoint of its lift?

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#algebraic-topology #homotopy-theory #fundamental-groups
177
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Self intersection and cohomology of boundary of tubular neighbourhood

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#differential-geometry #algebraic-topology #homology-cohomology #intersection-theory

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