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Homologous to zero but not contractible

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#general-topology #algebraic-topology
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Extenting a homeomorphism on subsurface to the entire surface

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#general-topology #algebraic-topology #differential-topology #geometric-topology #smooth-manifolds
35
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Normal subgroup invariant under $\text{Ad}_g$

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#algebraic-topology #lie-groups #lie-algebras
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Why $\mathbb{RP}^2$ can not be embedded to $\mathbb{R}^3$?

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#differential-geometry #algebraic-topology #manifolds #smooth-manifolds #characteristic-classes
116
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quotient topology in compact hausdorff space

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#algebraic-topology
340
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Liftings of Nullhomotopic Maps

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#algebraic-topology
379
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Homotopy equivalence of pushouts of topological spaces

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#algebraic-topology #homotopy-theory
55
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Algebraic Topology problem help! A mapping from the n-sphere to some set!

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#algebraic-topology
86
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Fundamental Confusion Regarding the Fundamental Group

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#algebraic-topology #fundamental-groups
351
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Euler characteristic of closed surface

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#general-topology #discrete-mathematics #differential-geometry #algebraic-topology #discrete-geometry
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How does one actually take the dual of a chain complex?

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#abstract-algebra #algebraic-topology #homology-cohomology
416
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Let $p: E \to B$ be a covering map. If $B$ is a completely regular space then prove that (edited) $E$ is completely regular space.

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#general-topology #algebraic-topology
402
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Explicit example of $\Delta$-complex of the Torus

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#algebraic-topology
374
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Is $\mathbb{H}P^\infty$ an H-space or not?

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#algebraic-topology #hopf-algebras #classifying-spaces
409
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algebra of polynomials of non-commuting variables

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#linear-algebra #abstract-algebra #ring-theory #algebraic-topology #tensors

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