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When is $\pi_0$ a group?

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#algebraic-topology
188
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Why does the intersection change to a union in $r^{-1}(\bigcap r(V_i\cap W_i))=\bigcup V_i\cap W_i$?

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#general-topology #algebraic-topology #covering-spaces
304
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strong deformation retract, of a perforated plane?

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#algebraic-topology
65
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f~g iff if $f*\bar{g}$~$\varepsilon_x$

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#algebraic-topology
590
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Basic question on almost complex structures and Chern classes of homogeneous spaces

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#algebraic-topology #characteristic-classes #homogeneous-spaces
560
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Computing the Euler Characteristic of the $n$-sphere

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#algebraic-topology #homology-cohomology
171
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A theorem of Kan regarding fibrant replacement

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#reference-request #algebraic-topology #simplicial-stuff
202
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homomorphism of fundamental groups induced by a map of two surfaces

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#general-topology #algebraic-topology #surfaces
452
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Homotopy type vs. weak homotopy type, and repercussions for EG

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#algebraic-topology #homotopy-theory
1.6k
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what is the covering space of figure eight which is corresponding to commutator subgroup.

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#algebraic-topology #covering-spaces
517
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What does having a basepoint buy us in algebraic topology?

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#general-topology #algebraic-topology
387
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Spaces homotopy equivalent to $A_{\infty}$-spaces

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#algebraic-topology #homotopy-theory #operads
169
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Symplectic submanifolds in $\mathbb{R}^{4}$

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#algebraic-topology #differential-topology #symplectic-geometry #morse-theory
641
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Quotient of surface of genus 2

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#algebraic-topology
140
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Universal Coefficient Theorem for Coefficient Group ${\bf R}$

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#algebraic-topology

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