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Are $[0,1]$ and $(0,1)$ homotopy equivalent?

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#algebraic-topology #homotopy-theory #alternative-proof
85
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Definition of regular covering maps: independent of choice of point

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#general-topology #algebraic-topology #covering-spaces
344
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How to compute the homology group of $SO(n)$?

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#algebraic-topology
1.1k
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understanding proof of excision theorem

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#algebraic-topology #homology-cohomology
292
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two maps are not homotopic equivalent

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#algebraic-topology #homological-algebra #homotopy-theory
411
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proof of excision theorem: commutativity of a diagram

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#algebraic-topology #homology-cohomology
3k
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exact sequence of reduced homology groups

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#algebraic-topology #homology-cohomology
72
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Related the property of two points contained in the same component

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#general-topology #algebraic-topology #differential-topology #connectedness
482
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A finite group G acts freely on a simply connected manifold M

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#differential-geometry #algebraic-topology #manifolds #lie-groups #smooth-manifolds
1.7k
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Good reference book for fibre bundles and principal bundles

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#differential-geometry #algebraic-topology #differential-topology
120
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fiber bundles with both base and fiber as $S^1$.

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#algebraic-topology #vector-bundles
72
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Sets problem/algebra

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#elementary-set-theory #algebraic-topology
127
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Doubts about computation of the homology of $\Bbb RP^2$ in Vick's *Homology Theory*

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#algebraic-topology #homology-cohomology #projective-space
850
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Are closed (topological) submanifold in $\mathbb R^n$ of codimension 1 orientable?

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#algebraic-topology #manifolds #orientation
94
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Homotopy Type of some space

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#general-topology #algebraic-topology

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