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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 1st 2011
   • PermaLink
   Author: Urs
   Format: MarkdownItexstub for [[suspension spectrum]]

   stub for suspension spectrum

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 6th 2018
   • (edited Nov 6th 2018)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of the strong monoidalness of the suspension spectrum functor ([here](https://ncatlab.org/nlab/show/suspension+spectrum#StrongMonoidalness)) with pointer to the proof at the level of model categories from _[[Introduction to Stable homotopy theory -- 1-2]]_ <a href="https://ncatlab.org/nlab/revision/diff/suspension+spectrum/17">diff</a>, <a href="https://ncatlab.org/nlab/revision/suspension+spectrum/17">v17</a>, <a href="https://ncatlab.org/nlab/show/suspension+spectrum">current</a>

   added mentioning of the strong monoidalness of the suspension spectrum functor (here) with pointer to the proof at the level of model categories from Introduction to Stable homotopy theory – 1-2

   diff, v17, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 2nd 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexbelow the argument for strong monoidalness via model categories, I added pointer to the more abstract argument: > More abstractly this follows from general properties of [[stabilization]] when regarding [[stable homotopy theory]] as the result of inverting [[smash product]] with the [[circle]], via [Robalo 12, last clause of Prop. 4.1 with last clause of Prop. 4.10 (1) ](#stabilization#Robalo12). For emphasis see also [Hoyois 15, section 6.1](stabilization#Hoyois15), specifically [Hoyois 15, Def. 6.1](stabilization#Hoyois15). <a href="https://ncatlab.org/nlab/revision/diff/suspension+spectrum/18">diff</a>, <a href="https://ncatlab.org/nlab/revision/suspension+spectrum/18">v18</a>, <a href="https://ncatlab.org/nlab/show/suspension+spectrum">current</a>

   below the argument for strong monoidalness via model categories, I added pointer to the more abstract argument:

   More abstractly this follows from general properties of stabilization when regarding stable homotopy theory as the result of inverting smash product with the circle, via Robalo 12, last clause of Prop. 4.1 with last clause of Prop. 4.10 (1) . For emphasis see also Hoyois 15, section 6.1, specifically Hoyois 15, Def. 6.1.

   diff, v18, current

4. • CommentRowNumber4.
   • CommentAuthorAli Caglayan
   • CommentTimeJan 2nd 2019
   • PermaLink
   Author: Ali Caglayan
   Format: MarkdownItexIs it monoidalness or monoidality?

   Is it monoidalness or monoidality?

5. • CommentRowNumber5.
   • CommentAuthorMike Shulman
   • CommentTimeJan 3rd 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexI think both are reasonable according to the rules of English. "Monoidality" sounds a bit more euphonious to me, but perhaps also a little less obvious in its meaning, so I figure it's a toss-up.

   I think both are reasonable according to the rules of English. “Monoidality” sounds a bit more euphonious to me, but perhaps also a little less obvious in its meaning, so I figure it’s a toss-up.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeJan 3rd 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexIf anyone feels it should be changed after all, please feel free to do so, I am not sold on it, just needed a word.

   If anyone feels it should be changed after all, please feel free to do so, I am not sold on it, just needed a word.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 11th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to formalization in [[dependent linear homotopy type theory]]: * [[Mitchell Riley]], Def. 2.1.29 & Rem. 2.4.13 in: *A Bunched Homotopy Type Theory for Synthetic Stable Homotopy Theory*, PhD Thesis (2022) &lbrack;[doi:10.14418/wes01.3.139](https://doi.org/10.14418/wes01.3.139)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/suspension+spectrum/22">diff</a>, <a href="https://ncatlab.org/nlab/revision/suspension+spectrum/22">v22</a>, <a href="https://ncatlab.org/nlab/show/suspension+spectrum">current</a>

   added pointer to formalization in dependent linear homotopy type theory:

   • Mitchell Riley, Def. 2.1.29 & Rem. 2.4.13 in: A Bunched Homotopy Type Theory for Synthetic Stable Homotopy Theory, PhD Thesis (2022) [doi:10.14418/wes01.3.139]

   diff, v22, current