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how should I show that it is wedge of infinite circles?

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#general-topology #algebraic-topology #homotopy-theory #fundamental-groups
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Quasi circle is not contractible

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#general-topology #algebraic-topology #homotopy-theory
332
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What is the difference between multiplication and direct sum on homotopy groups of spheres?

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#algebraic-topology #homotopy-theory #spectral-sequences
69
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Lowest norm solution to a system of polynomial equations

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#polynomials #numerical-methods #homotopy-theory #systems-of-equations #numerical-optimization
271
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Why is a spectrum $X$ with only $\pi_0X\neq 0$ equivalent to an Eilenberg-MacLane spectrum?

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#algebraic-topology #homotopy-theory #stable-homotopy-theory #eilenberg-maclane-spaces
215
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Example for a space that is contractible to precisely one of its points

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#general-topology #algebraic-topology #homotopy-theory
198
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Is there any standard terminology for the quotient of a topological group by the connected component of the identity?

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#general-topology #terminology #homotopy-theory #topological-groups
357
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Path-homotopic definition.

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#general-topology #algebraic-topology #homotopy-theory
354
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Why is $\pi_1(X,x_0)$ a group?

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#general-topology #algebraic-topology #homotopy-theory
223
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Definition of post-composing for homotopy classes of maps

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#algebraic-topology #homotopy-theory
57
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Question about homotopy lifting data definitions

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#algebraic-topology #homotopy-theory
515
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The image of the boundary homomorphism in the long exact sequence of homology groups coincides with the image of Hurewicz map.

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#algebraic-topology #homology-cohomology #homotopy-theory #cw-complexes
266
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Homotopy Equivalence on the filtration of a CW-Complex

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#algebraic-topology #homotopy-theory #cw-complexes
383
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Computing the group of covering transformations of a covering map

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#general-topology #algebraic-topology #homotopy-theory #covering-spaces
170
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Can $S^0 \to S^n \to S^n$ become a fiber bundle when $n>1$?

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#algebraic-topology #homotopy-theory #fiber-bundles

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