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186
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Confusion about Phantom Maps

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#algebraic-topology #homotopy-theory #stable-homotopy-theory
98
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Field spectra and Eilenberg--MacLane spectra?

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#homology-cohomology #homotopy-theory #stable-homotopy-theory #spectra
43
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Stable homotopy of exceptional Lie groups

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#lie-groups #homotopy-theory #stable-homotopy-theory
66
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Notion of stability for Lusternik-Schnirelman category

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#algebraic-topology #homotopy-theory #stable-homotopy-theory
56
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Multiple products on $R^* R$ for a ring spectrum R

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#algebraic-topology #homotopy-theory #stable-homotopy-theory
89
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$KO_*$ groups of $\mathbb{R}P^\infty$, "Snaiths" theorem for $KO$

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#general-topology #algebraic-topology #k-theory #stable-homotopy-theory #spectra
492
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Homology of a spectrum

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#homology-cohomology #stable-homotopy-theory #spectra
125
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How do I prove that all smooth manifolds being homotopic implies contractible?

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#differential-topology #homotopy-theory #stable-homotopy-theory
134
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CW Wedge sum Cofiber sequence

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#general-topology #algebraic-topology #cw-complexes #stable-homotopy-theory
155
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Why the category of CW-complexes is not stable?

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#category-theory #homotopy-theory #cw-complexes #higher-category-theory #stable-homotopy-theory
63
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Symmetric spectrum associated to a ring

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#algebraic-geometry #algebraic-topology #homotopy-theory #stable-homotopy-theory #spectra
91
Views

What does it mean for this proposition to hold in $Top_*$?

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#algebraic-topology #homotopy-theory #stable-homotopy-theory
65
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Postnikov sections are monoidal functor or not?

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#algebraic-topology #homotopy-theory #stable-homotopy-theory
212
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$G$-spaces vs spaces with a $G$-action

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#soft-question #homotopy-theory #stable-homotopy-theory #equivariant-cohomology
178
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$\pi_0(SO(N))$ and $\pi_0(O(N))$: Inconsistency between Bott periodicity and basic understanding of $\pi_0$

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#general-topology #lie-groups #homotopy-theory #stable-homotopy-theory

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