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15
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Proving the left lifting property for a map

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#algebraic-topology #homotopy-theory #fibration
275
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CW complex with no cells in dimension $n$

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#algebraic-topology #homotopy-theory
1k
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covering map $S^n \rightarrow P^n$ is not null homotopic

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#algebraic-topology #homotopy-theory #covering-spaces
631
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chain homotopy equivalence between mapping cone complexes

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#algebraic-topology #homological-algebra #homotopy-theory
125
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What is "Triangulable Triad"?

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#algebraic-topology #definition #homotopy-theory #triangulation
240
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Second Volume of Elements of Homotopy Theory?

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#reference-request #algebraic-topology #homotopy-theory
53
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About the Degree of a Map

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#algebraic-topology #homotopy-theory #triangulation
480
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Obstruction to reduction of structure group

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#algebraic-topology #homotopy-theory
215
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What's the calculation formula of topological number for mappings of $\pi_{3}(S^2)=\mathbb{Z}$?

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#algebraic-topology #homotopy-theory #winding-number
67
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A problem concern about the relationship between homotopy groups.

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#homotopy-theory #fibration
219
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Reference for introductory text on Homotopy Theory

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#reference-request #homotopy-theory
94
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Stability of the nonempty intersection of an open set $A$ with a set $S$ under homotopy?

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#general-topology #complex-analysis #differential-topology #homotopy-theory
3.1k
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Showing that a homotopy fiber of a fibration is homotopy equivalent to the fiber of the base point.

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#algebraic-topology #homotopy-theory
549
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Homological algebra (homotopical approach)

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#reference-request #homological-algebra #homotopy-theory #model-categories
1k
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Can we simultaneously realize arbitrary homotopy groups and arbitrary homology groups?

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#algebraic-topology #homotopy-theory #homology-cohomology

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