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Passing from cohomology to homology of complement of hyperplanes

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#algebraic-topology
479
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Why does Hatcher mention relative homology (Proof of Euler Characteristic)

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#algebraic-topology #homology-cohomology
827
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CW Complex of an n-torus?

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#general-topology #algebraic-topology
257
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infinite covering of a compact surface corresponding to a handlebody subgroup

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#reference-request #algebraic-topology #surfaces #geometric-topology #covering-spaces
127
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example on equivariant cohomology

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#algebraic-topology #group-actions #free-modules
111
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Notation for set of $n$-simplices in a simplicial complex?

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#algebraic-topology #simplicial-complex
110
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Uniqueness of universal covering without local path-connectedness

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#algebraic-topology
51
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Covering space morphism maps each sheet onto some other sheet

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#algebraic-topology #covering-spaces
154
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Definition of a (topologically) continuous functor

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#general-topology #algebraic-topology #topological-k-theory
645
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Finding a Pinch Map from the Given Multiplications

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#algebraic-topology #homotopy-theory
164
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Let $X=S^1\times S^1$ and $A=S^1\times\{x_0\}$ where $x_0\in S^1$. Show that there is a retraction $r:X\to A$ but that $A$ is not a deformation re

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#general-topology #algebraic-topology
536
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Mayer-Vietoris and homology of $\mathbb{C}P^2$

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#algebraic-topology #homology-cohomology
193
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Flipping the torus coordinates

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#algebraic-topology
833
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How to show the following diagram commutes?

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#algebraic-topology #manifolds #poincare-duality
292
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Subgroup of free product of cyclic group is still a free product of cyclic groups?

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#group-theory #algebraic-topology

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