The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.
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6 Pith papers cite this work. Polarity classification is still indexing.
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Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.
Tensor product group-completion of the category of finitely generated free R-modules equals the rationalization of K(R) up to π0.
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On Galois categories and condensed contractible schemes
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.