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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 21st 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarting something, but just a stub so far <a href="https://ncatlab.org/nlab/revision/persistent+homotopy/1">v1</a>, <a href="https://ncatlab.org/nlab/show/persistent+homotopy">current</a>

   starting something, but just a stub so far

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 21st 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexhave tried my hand on illustrating the main theorem of persistent co-homotopy ([Franek & Krčál 2017, Thm. A](https://ncatlab.org/nlab/show/persistent+homotopy#FranekKrcal17)) in the simplest instructive example: currently [here](https://ncatlab.org/nlab/show/Sandbox#MainTheoremPersistentCohomotopy) in the Sandbox. (the rendering on my local machine comes out a little nicer, for some reason. Will fine-tune tomorrow.)

   have tried my hand on illustrating the main theorem of persistent co-homotopy (Franek & Krčál 2017, Thm. A) in the simplest instructive example:

   currently here in the Sandbox.

   (the rendering on my local machine comes out a little nicer, for some reason. Will fine-tune tomorrow.)

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 22nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have expanded ([here](https://ncatlab.org/nlab/show/persistent+homotopy#Idea)) the Idea-section a fair bit, culminating in a table of variants of persistence that have been and still could be considered. (In particular I will give *[[persistent cohomotopy]]* its own entry now). Also added one more reference for persistent cohomotopy, namely * [[Andrew J. Blumberg]], [[Michael Lesnick]], *Universality of the Homotopy Interleaving Distance* $[$[arXiv:1705.01690](https://arxiv.org/abs/1705.01690)$]$ Is the impression correct that this as well as * [[J. F. Jardine]], *Data and homotopy types* $[$[arXiv:1908.06323](https://arxiv.org/abs/1908.06323)$]$ remains unpublished? <a href="https://ncatlab.org/nlab/revision/diff/persistent+homotopy/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/persistent+homotopy/3">v3</a>, <a href="https://ncatlab.org/nlab/show/persistent+homotopy">current</a>

   I have expanded (here) the Idea-section a fair bit, culminating in a table of variants of persistence that have been and still could be considered.

   (In particular I will give persistent cohomotopy its own entry now).

   Also added one more reference for persistent cohomotopy, namely

   • Andrew J. Blumberg, Michael Lesnick, Universality of the Homotopy Interleaving Distance $[$arXiv:1705.01690$]$

   Is the impression correct that this as well as

   • J. F. Jardine, Data and homotopy types $[$arXiv:1908.06323$]$

   remains unpublished?

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 2nd 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Mehmet Ali Batan, Mehmetcik Pamuk, Hanife Varli, *Persistent Homotopy* $[$[arXiv:1909.08865](https://arxiv.org/abs/1909.08865)$]$ <a href="https://ncatlab.org/nlab/revision/diff/persistent+homotopy/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/persistent+homotopy/5">v5</a>, <a href="https://ncatlab.org/nlab/show/persistent+homotopy">current</a>

   added pointer to:

   • Mehmet Ali Batan, Mehmetcik Pamuk, Hanife Varli, Persistent Homotopy $[$arXiv:1909.08865$]$

   diff, v5, current