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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 27th 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexprompted by [this MO question](http://mathoverflow.net/q/168264/381) I saw that our entry _[[parameterized spectrum]]_ was a bit thin on information. I have now at least briefly added a section _[Yoga of six functors](http://ncatlab.org/nlab/show/parametrized+spectrum#SixOperationsYoga)_ with mentioning of and pointers to the [[Wirthmüller context]] property, the [[Beck-Chevalley condition]] and the interpretation as [[linear homotopy type theory]].

   prompted by this MO question I saw that our entry parameterized spectrum was a bit thin on information. I have now at least briefly added a section Yoga of six functors with mentioning of and pointers to the Wirthmüller context property, the Beck-Chevalley condition and the interpretation as linear homotopy type theory.

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 23rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Mitchell Riley]], [[Eric Finster]], [[Daniel R. Licata]], *Synthetic Spectra via a Monadic and Comonadic Modality* &lbrack;[arXiv:2102.04099](https://arxiv.org/abs/2102.04099)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/25">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/25">v25</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added pointer to:

   • Mitchell Riley, Eric Finster, Daniel R. Licata, Synthetic Spectra via a Monadic and Comonadic Modality [arXiv:2102.04099]

   diff, v25, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for this item: * [[Vincent Braunack-Mayer]], *Combinatorial parametrised spectra*, Algebr. Geom. Topol. **21** (2021) 801-891 &lbrack;[arXiv:1907.08496](https://arxiv.org/abs/1907.08496), [doi:10.2140/agt.2021.21.801](https://doi.org/10.2140/agt.2021.21.801)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/28">v28</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added publication data for this item:

   • Vincent Braunack-Mayer, Combinatorial parametrised spectra, Algebr. Geom. Topol. 21 (2021) 801-891 [arXiv:1907.08496, doi:10.2140/agt.2021.21.801]

   diff, v28, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded also pointer to: * [[Fabian Hebestreit]], [[Steffen Sagave]], [[Christian Schlichtkrull]], *Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces*, Forum of Mathematics, Sigma **8** (2020) e16 &lbrack;[arXiv:1904.01824](https://arxiv.org/abs/1904.01824), [doi:10.1017/fms.2020.11](https://doi.org/10.1017/fms.2020.11)&rbrack; and re-organized the list of references into those pertaining to spectra parameterized over a fixed based and those considering full tangent $\infty$-categories. I think I will finally split off now an entry *[[model structure for parameterized spectra]]*. <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/28">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/28">v28</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added also pointer to:

   • Fabian Hebestreit, Steffen Sagave, Christian Schlichtkrull, Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces, Forum of Mathematics, Sigma 8 (2020) e16 [arXiv:1904.01824, doi:10.1017/fms.2020.11]

   and re-organized the list of references into those pertaining to spectra parameterized over a fixed based and those considering full tangent $\infty$-categories.

   I think I will finally split off now an entry model structure for parameterized spectra.

   diff, v28, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeApr 2nd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded this pointer, here and elsewhere: * [[Cary Malkiewich]], *Parametrized spectra, a low-tech approach* &lbrack;[arXiv:1906.04773](https://arxiv.org/abs/1906.04773), user guide: [pdf](https://people.math.binghamton.edu/malkiewich/users_guide_parametrized.pdf)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/32">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/32">v32</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added this pointer, here and elsewhere:

   • Cary Malkiewich, Parametrized spectra, a low-tech approach [arXiv:1906.04773, user guide: pdf]

   diff, v32, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeMay 25th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Cary Malkiewich]], *A convenient category of parametrized spectra* &lbrack;[arXiv:2305.15327](https://arxiv.org/abs/2305.15327)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/34">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/34">v34</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added pointer to:

   • Cary Malkiewich, A convenient category of parametrized spectra [arXiv:2305.15327]

   diff, v34, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeJul 13th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Eric Finster]]: *A Tour of Parameterized Spectra*, [talk at](CQTS#FinsterApr2024) *[Running HoTT 2024](CQTS#RunningHoTT2024)*, [[CQTS]]@NYUAD (April 2024) &lbrack;video:[kt](https://cdnapisec.kaltura.com/p/1674401/sp/167440100/embedIframeJs/uiconf_id/23435151/partner_id/1674401?iframeembed=true&playerId=kaltura_player&entry_id=1_jf6fy0f2)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/parametrized+spectrum/37">diff</a>, <a href="https://ncatlab.org/nlab/revision/parametrized+spectrum/37">v37</a>, <a href="https://ncatlab.org/nlab/show/parametrized+spectrum">current</a>

   added pointer to:

   • Eric Finster: A Tour of Parameterized Spectra, talk at Running HoTT 2024, CQTS@NYUAD (April 2024) [video:kt]

   diff, v37, current