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Definition of mapping telescope

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#general-topology #algebraic-topology #homotopy-theory #quotient-spaces #cw-complexes
52
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Suppose $Y_f=D^n \cup_fY$ is the space obtained from $Y$ by attaching an n-cell via the map $f: S^{n-1} \rightarrow Y$, $n \geq 3$.

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#algebraic-topology
119
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Visualizing a 2-torus on a planar shape using periodic boundary conditions

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#graph-theory #algebraic-topology
767
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Free product with amalgamation vs pushout

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#group-theory #algebraic-topology #free-product
44
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A description of the map between Grassmanians $G_1^k \rightarrow G_k$,

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#algebraic-topology #differential-topology #homotopy-theory #characteristic-classes #classifying-spaces
109
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CW Structure on Self-Homeomorphism Groups

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#algebraic-topology #homotopy-theory #topological-groups #cw-complexes
285
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Inclusion of $n$-skeleton induces surjection of cohomology rings

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#algebraic-topology #homology-cohomology
80
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Ways of proving that (Combinatorial) Fundamental Group is independent of Maximal Tree

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#algebraic-topology
1.4k
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What is the universal covering space of the projective line $\mathbb{RP}^1$?

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#algebraic-topology #projective-geometry #covering-spaces #projective-space
117
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How to combine shuffles to prove associativity of Eilenber-Zilber map

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#combinatorics #algebraic-topology #permutations
109
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Fundamental group of the complement of $3$ disjoint hypersurfaces in $\mathbb{C}P^2$

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#algebraic-topology #projective-space #fundamental-groups
320
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Associativity of a homology ring of an H-space.

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#algebraic-topology #homology-cohomology
2.2k
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What is Thom Isomorphism?

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#algebraic-topology #homology-cohomology #homotopy-theory #fiber-bundles
248
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Show that the Compact open topology on Hom(X,Y) is hausdorff

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#general-topology #proof-verification #algebraic-topology
29
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restriction operators and continuous maps from Hom(X,Y) to Hom(A,Y)

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#general-topology #proof-verification #algebraic-topology

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