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Is the 6-sheeted covering of $S^1\vee S^1$ regular?

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#algebraic-topology
67
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Let $X = D^3 \cup_f S^2$ where $f: \delta D^3 \cong S^2 \rightarrow S^2$ is a degree d attaching map. Compute $H_i(X)$

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#proof-verification #algebraic-topology
1.1k
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How can i calculate $H_i(S^2 \times S^1)$?

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#algebraic-topology
122
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Is there any intuition behind the definition of clutching datum?

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#general-topology #algebraic-topology
598
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Hatcher's proof of Leray–Hirsch theorem

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#algebraic-topology #homology-cohomology #fiber-bundles
192
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Relation between the real line and circle

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#algebraic-topology
63
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Homotopy between $id_{D^2}$ and $-id_{D^2}$ but not $id_{S^1}$ and $-id_{S^1}$.

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#algebraic-topology #homotopy-theory
123
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To understand a long exact sequence related to Cohomology

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#algebraic-topology #homology-cohomology #exact-sequence
126
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How the projection of third Reidemeister move is a homotopy of immersed knot diagrams?

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#algebraic-topology #geometric-topology #knot-theory #planar-graphs #low-dimensional-topology
165
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On a lemma regarding non-degenerate points of (geometric realizations of) simplicial sets

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#algebraic-topology #simplicial-stuff #geometric-realization
110
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On $\pi_n$ commuting with certain functors

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#general-topology #algebraic-topology #homotopy-theory
406
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Question about calculation in Mayer-Vietoris sequence

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#algebraic-topology #homology-cohomology
400
Views

What is the Alexander polynomial of knot $6_{1}$?

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#proof-verification #algebraic-topology #knot-theory #knot-invariants
366
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What does it mean for the fundamental group of the n-leafed rose $C_{n}$ to be free of rank $n$?

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#abstract-algebra #group-theory #algebraic-topology #proof-explanation #knot-theory
257
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The long exact cohomology sequence on compact complex manifolds

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#differential-geometry #algebraic-geometry #algebraic-topology #complex-geometry

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