• Corpus ID: 246295012

An Elmendorf-Piacenza type Theorem for Actions of Monoids

@inproceedings{Erdal2016AnET,
  title={An Elmendorf-Piacenza type Theorem for Actions of Monoids},
  author={Mehmet Akif Erdal},
  year={2016}
}
Let M be a monoid and G : Mon → Grp be the group completion functor from monoids to groups. Given a collection Z of submonoids of M and for each N ∈ Z a collection YN of subgroups of G(N), we construct a model structure on the category of M -spaces and M -equivariant maps, in which weak equivalences and fibrations are determined by the standard YN model structures on G(N)-spaces for all N ∈ Z. We also show that there is a small category O(Z,Y) such that, under mild conditions on Z and YN ’s… 

References

SHOWING 1-10 OF 30 REFERENCES
Homotopy theories and model categories
Equivariant Homotopy and Cohomology Theory
Cat as a closed model category
© Andrée C. Ehresmann et les auteurs, 1980, tous droits réservés. L’accès aux archives de la revue « Cahiers de topologie et géométrie différentielle catégoriques » implique l’accord avec les
The equivariant Serre spectral sequence
For spaces with a group action, we introduce Bredon cohomology with local (or twisted) coefficients and show that it is invariant under weak equivariant homotopy equivalence. We use this new
The undecidability of the Turing machine immortality problem
A Turing Machine (TM) is an abstract, synchronous, deterministic computer with a finite number of internal states. It operates on the set of infinite words, or tapes, over some finite alphabet,
Semigroup Actions on Sets and the Burnside Ring
TLDR
This paper shows that some enlargements of the category of sets with semigroup actions and equivariant functions possess two idempotent endofunctors, and shows that up to homotopy these categories are equivalent to the usual category of Sets with Semigroup actions.
Locally Presentable And Accessible Categories
TLDR
The locally presentable and accessible categories is universally compatible with any devices to read, and can be searched hundreds of times for their chosen readings, but end up in harmful downloads.
Simplicial Homotopy Theory
TLDR
Simplicial sets, model categories, and cosimplicial spaces: applications for homotopy coherence, results and constructions, and more.
...
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