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1. • CommentRowNumber1.
   • CommentAuthorperezl.alonso
   • CommentTimeFeb 4th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexdefinition, couple of relevant properties, and references <a href="https://ncatlab.org/nlab/revision/unstable+K-theory/1">v1</a>, <a href="https://ncatlab.org/nlab/show/unstable+K-theory">current</a>

   definition, couple of relevant properties, and references

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeFeb 4th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have changed the notation $Top(-,-)$ (which is the set/space of all maps) to $[-,-]$ (for the quotient set of homotopy classes, following the cited references) <a href="https://ncatlab.org/nlab/revision/diff/unstable+K-theory/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/unstable+K-theory/2">v2</a>, <a href="https://ncatlab.org/nlab/show/unstable+K-theory">current</a>

   I have changed the notation $Top(-,-)$ (which is the set/space of all maps) to $[-,-]$ (for the quotient set of homotopy classes, following the cited references)

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorperezl.alonso
   • CommentTimeMay 6th 2024
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexpointer * Mikala Ørsnes Jansen. *Unstable algebraic K-theory: homological stability and other observations* (2024). ([arXiv:2405.02065](https://arxiv.org/abs/2405.02065)). <a href="https://ncatlab.org/nlab/revision/diff/unstable+K-theory/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/unstable+K-theory/3">v3</a>, <a href="https://ncatlab.org/nlab/show/unstable+K-theory">current</a>

   pointer

   • Mikala Ørsnes Jansen. Unstable algebraic K-theory: homological stability and other observations (2024). (arXiv:2405.02065).

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeMay 6th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexInteresting to see generalized non-abelian ("unstable") cohomology gain more attention.

   Interesting to see generalized non-abelian (“unstable”) cohomology gain more attention.

5. • CommentRowNumber5.
   • CommentAuthorperezl.alonso
   • CommentTimeMay 18th 2024
   • (edited May 18th 2024)
   • PermaLink
   Author: perezl.alonso
   Format: MarkdownItexexample of unstable vs stable K theory groups of even-dim'l spheres, which is obviously relevant to [this comment](https://nforum.ncatlab.org/discussion/10929/dbrane-charge-quantization-in-ktheory/?Focus=114764#Comment_114764) for $n=5$, considering the 10-sphere as a target space <a href="https://ncatlab.org/nlab/revision/diff/unstable+K-theory/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/unstable+K-theory/4">v4</a>, <a href="https://ncatlab.org/nlab/show/unstable+K-theory">current</a>

   example of unstable vs stable K theory groups of even-dim’l spheres, which is obviously relevant to this comment for $n=5$, considering the 10-sphere as a target space

   diff, v4, current