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Local properties of loop spaces

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#general-topology #reference-request #algebraic-topology #loop-spaces
411
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Fundamental group of a mapping cone

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#algebraic-topology #homotopy-theory #fundamental-groups
862
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Is there a subset of $\mathbb R^2$ that has fundamental group $\mathbb Z^2$?

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#algebraic-topology #fundamental-groups
111
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Invertible and logarthmic functions on a circle

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#complex-analysis #functional-analysis #algebraic-topology #c-star-algebras
633
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Identify all three edges of a single 2-simplex does not produce a Delta-complex structure

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#algebraic-topology
1.7k
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Cohomology of blow-up

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#algebraic-geometry #algebraic-topology #homology-cohomology #blowup
242
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Manifolds covered by finitely many charts

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#algebraic-topology #manifolds #fundamental-groups
1.8k
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Cohomology of projective bundle only depends on base and fiber?

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#algebraic-geometry #algebraic-topology #homology-cohomology #fiber-bundles
651
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A pair of spaces $(X,A)$, with $A$ non-contractible, such that the quotient $X \to X/A$ is a homotopy equivalence.

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#algebraic-topology #homotopy-theory
222
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Fiber bundle over torus

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#algebraic-topology #lie-groups #vector-bundles #topological-groups #fiber-bundles
335
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Finite generatedness of singular cohomology of compact manifolds

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#differential-geometry #algebraic-topology #manifolds #differential-topology #homology-cohomology
170
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Example of a fibration which does not arise from a fibre bundle

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#algebraic-topology #homotopy-theory #fibration
423
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Unknot is the only knot that bounds a disk

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#algebraic-topology #differential-topology #knot-theory
117
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Unclear step on the calculation of a homology group.

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#group-theory #algebraic-topology #homology-cohomology #homological-algebra
949
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Show that $[X,Y]$ has a single element.

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#algebraic-topology #homotopy-theory

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