User Jonathan Beardsley

33 votes

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Why are monadicity and descent related?

answered Dec 6, 2015 at 13:54

30 votes

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Is the $H$-space structure on $S^7$ associative up to homotopy?

answered Dec 3, 2016 at 23:00

21 votes

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Connes–Consani's absolute geometry and Lurie's spectral algebraic geometry

answered Oct 27, 2021 at 22:13

11 votes

Useless math that became useful

answered Jan 3, 2014 at 5:48

9 votes

Suggestions for good notation

answered Oct 15, 2012 at 19:32

6 votes

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Hopf-algebras in associative ring spectra

answered Nov 14, 2014 at 21:27

5 votes

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When is a quasicategory over $N(\Delta)^{op}$ a planar $\infty$-operad?

answered Apr 13, 2015 at 2:21

5 votes

Can we just use effective descent morphisms (pure morphisms) as covers?

answered Oct 24, 2019 at 16:18

5 votes

Schwede-Shipley theorem for monoidal categories?

answered Sep 1, 2023 at 16:12

5 votes

How does homotopy theory simplify topology but allow for complexity in higher category theory?

answered Jul 30 at 23:38

4 votes

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The first two $k$-invariants of $\mathrm{pic}(KU)$ and $\mathrm{pic}(KO)$

answered May 15 at 19:55

4 votes

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Is the Thom diagonal co-$E_\infty$?

answered Sep 20, 2015 at 20:22

4 votes

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Cogenerator of Categories of Topological Spaces Satisfying Some Separation Axiom

answered May 24, 2018 at 3:41

4 votes

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Interaction of Grothendieck Construction with Coherent Nerve

answered Aug 29, 2018 at 4:48

4 votes

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Lifting Strict Comonoids and Comodules to Quasicategories

answered Aug 29, 2018 at 4:57

3 votes

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Grothendieck Construction, Categories of Operators and Opposites

answered May 23, 2019 at 4:37

3 votes

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Opposite Symmetric Monoidal Structure on an Infinity Category

answered Mar 4, 2015 at 2:56

3 votes

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Explicit formula for associator of commutative power series

answered Jul 6, 2013 at 18:04

2 votes

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On coalgebras and comodules in slice $\infty$-categories

answered May 15 at 20:11

2 votes

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Straightening for $\infty$-operads

answered May 15 at 21:30

2 votes

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Monoidal structures on modules over derived coalgebras

answered Feb 26, 2021 at 17:08

2 votes

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Quasicategorical Construction of a Cosimplicial Map of Rognes

answered May 12, 2023 at 19:39

1 vote

Why does $Mf$ always support an $Mf$-orientation?

answered Sep 10, 2021 at 20:13

1 vote

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Localization at Infinite Wedges of K-theories or BP

answered Apr 5, 2013 at 22:21

1 vote

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Thom isomorphism's effect on module structure of n-oriented spectra

answered Oct 12, 2013 at 7:13

1 vote

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Higher Degree Data in a Cosimplicial Quasicategory and Delooping

answered Aug 24, 2014 at 5:29

1 vote

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Thom Spectra and Hopf-Galois Extensions of Ring Spectra

answered Feb 24, 2016 at 16:32

0 votes

Filtration on Smash Product of Cofibers

answered Feb 19, 2013 at 17:39

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28 Answers

Why are monadicity and descent related?

Is the $H$-space structure on $S^7$ associative up to homotopy?

Connes–Consani's absolute geometry and Lurie's spectral algebraic geometry

Useless math that became useful

Suggestions for good notation

Hopf-algebras in associative ring spectra

When is a quasicategory over $N(\Delta)^{op}$ a planar $\infty$-operad?

Can we just use effective descent morphisms (pure morphisms) as covers?

Schwede-Shipley theorem for monoidal categories?

How does homotopy theory simplify topology but allow for complexity in higher category theory?

The first two $k$-invariants of $\mathrm{pic}(KU)$ and $\mathrm{pic}(KO)$

Is the Thom diagonal co-$E_\infty$?

Cogenerator of Categories of Topological Spaces Satisfying Some Separation Axiom

Interaction of Grothendieck Construction with Coherent Nerve

Lifting Strict Comonoids and Comodules to Quasicategories

Grothendieck Construction, Categories of Operators and Opposites

Opposite Symmetric Monoidal Structure on an Infinity Category

Explicit formula for associator of commutative power series

On coalgebras and comodules in slice $\infty$-categories

Straightening for $\infty$-operads

Monoidal structures on modules over derived coalgebras

Quasicategorical Construction of a Cosimplicial Map of Rognes

Why does $Mf$ always support an $Mf$-orientation?

Localization at Infinite Wedges of K-theories or BP

Thom isomorphism's effect on module structure of n-oriented spectra

Higher Degree Data in a Cosimplicial Quasicategory and Delooping

Thom Spectra and Hopf-Galois Extensions of Ring Spectra

Filtration on Smash Product of Cofibers