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Can we use Eckmann–Hilton duality to prove dual theorems?

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#algebraic-topology
56
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Explicit determination of the open book in $S^3$

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#reference-request #algebraic-topology #differential-topology #low-dimensional-topology
433
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Fibers Under a Covering Map are Discrete Subspaces of the Domain

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#general-topology #algebraic-topology #covering-spaces
129
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What is wrong with this application of van Kampen's Theorem?

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#algebraic-topology #fundamental-groups
291
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relative persistent homology of a filtration of a 2-sphere cell complex

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#algebraic-topology #homology-cohomology #topological-data-analysis
62
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Proof of Invariance of Domain in Introduction to Algebraic Topology by Rotman

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#general-topology #algebraic-topology #proof-explanation
1.2k
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Show that there exist $[a,b]\subset [0,1]$, such that $\int_{a}^{b}f(x)dx$ = $\int_{a}^{b}g(x)dx$ = $\frac{1}{2}$

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#real-analysis #algebraic-topology
89
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degree of a map between Manifold and Hopf theorem

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#algebraic-topology
643
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Does the integral cohomology ring determine the ring structure with other coefficients?

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#algebraic-topology #manifolds #homology-cohomology
152
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When are homotopy-equivalent 4-manifolds s-cobordant?

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#algebraic-topology #manifolds #cobordism
313
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Which 3-manifolds can be cubulated?

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology #geometric-group-theory
101
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Weak homotopy equivalence induces isomorpism of sets of homotopy classes?

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#algebraic-topology #homotopy-theory
78
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Covering space: preimage

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#algebraic-topology #covering-spaces #riemann-sphere
369
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First fundamental group $\pi_1(X)$ of $\mathbb{R^3} \setminus \{$a circumference $\cup$ a line tangent to a point on the circumference$\}$

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#algebraic-topology #fundamental-groups
606
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fundamental group of quotient space

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#algebraic-topology

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