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15
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Zeroth-homology of a complex of $n$ connected components

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#algebraic-topology
104
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Intuitive explanation of connectdness in relation to SO(3) and 3-sphere

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#differential-geometry #algebraic-topology #quaternions
128
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Virtual vector bundles, Grothendieck group, and a pair of bundles

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#differential-geometry #algebraic-topology #differential-topology #vector-bundles #characteristic-classes
96
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Fundamental group of projective plane with g handles by van Kampen

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#algebraic-topology #fundamental-groups
1.6k
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$S^1$ is not simply connected.

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#algebraic-topology #fundamental-groups #path-connected
154
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How to reconcile two different computed first homology groups for this space?

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#algebraic-topology #homology-cohomology #fundamental-groups #group-presentation
551
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Explicit computations for derived functors

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#algebraic-geometry #algebraic-topology #homology-cohomology #sheaf-theory #derived-functors
511
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complex-oriented cohomology theories

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#algebraic-topology #homology-cohomology
734
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Fixed points of deck transformations

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#algebraic-topology #hyperbolic-geometry #covering-spaces
222
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Barycentric subdivision in convex sets: is Rotman's definition incorrect?

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#algebraic-topology #homology-cohomology #barycentric-coordinates
759
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Question about Hatcher's proof of equivalence of simplicial and singular homology for $\Delta$-complexes.

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#algebraic-topology #homology-cohomology #simplicial-complex
79
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$\pi_3(Sp(N))=\mathbb{Z}$, $\pi_4(Sp(N))=\mathbb{Z}_2$, $\pi_5(Sp(N))=\mathbb{Z}_2$?

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#general-topology #algebraic-topology #homotopy-theory #geometric-topology #spectral-sequences
132
Views

Relationship between universal vector bundles and principal $O(n)$ bundles?

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#general-topology #algebraic-topology #homotopy-theory
476
Views

On the definition of k-simplex

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#algebraic-topology
2.1k
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Interesting questions (with answers) about concepts in topology for an amateur audience

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#general-topology #algebraic-topology #education #big-list

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