Search for tag: "jfdavis"

Assembly Maps

From  James Davis on December 13th, 2019 13 plays 0  

Farrell-Jones Isomorphism Conjectures

Lück has several surveys on the Farrell-Jones Conjecture on his website.

From  James Davis on December 11th, 2019 23 plays 0  

Equivariant Homology Theories

Equivariant homology theories were defined in Lück, Chern characters for proper equivariant homology theories and applications to K- and L-theory, but unfortunately, their construction by…

From  James Davis on December 9th, 2019 6 plays 0  

Algebraic K-theory; Additive Categories

The nonconnective K-spectrum of a small additive category constructed by Pedersen-Weibel, A Nonconnective Delooping of Algebraic K-theory.

From  James Davis on December 6th, 2019 11 plays 0  

Generalized Homology of C-spaces

From  James Davis on December 4th, 2019 8 plays 0  

Spectra

From  James Davis on December 2nd, 2019 11 plays 0  

The Bar Resolution

From  James Davis on November 22nd, 2019 8 plays 0  

Homotopy Pushouts and Pullbacks

References for this material are given in the book by Strom mentioned above as well as Munson-Volic Cubical Homotopy Theory. I don't know the geodesic route to the proof of the fundamental…

From  James Davis on November 18th, 2019 15 plays 0  

Proof of Theorem 3.11 in DL

From  James Davis on November 15th, 2019 13 plays 0  

Homotopy Colimits and Mapping Telescopes

The proof of the ladder and gluing lemmas can be found in May-Ponto More Concise Algebraic Topology.

From  James Davis on November 13th, 2019 8 plays 0  

Homotopy Colimits

For homotopy colimits and limits, I like the approach of Davis-Lück the best. The classical reference is Bousfield-Kan, Homotopy Limits, Completions and Localizations. Strom's Modern…

From  James Davis on November 11th, 2019 14 plays 0  

Ruminations on the Orbit Category

From  James Davis on November 9th, 2019 14 plays 0  

G-spaces vs Or G^{op}-spaces

From  James Davis on November 6th, 2019 18 plays 0  

C-CW Approximations

From  James Davis on November 4th, 2019 9 plays 0  

Free C-CW complexes

From  James Davis on November 1st, 2019 9 plays 0  

ZC-Homological Algebra (Limits and Colimits VI)

From  James Davis on October 30th, 2019 13 plays 0  

Yoneda's Lemma

From  James Davis on October 28th, 2019 5 plays 0  

Simplicial Sets II

From  James Davis on October 26th, 2019 13 plays 0  

Simplicial Sets I

From  James Davis on October 23rd, 2019 16 plays 0  

Fundamental Groupoids and Local Coefficient Systems

From  James Davis on October 21st, 2019 8 plays 0  

Groupoids and Equivalences of Categories

From  James Davis on October 16th, 2019 13 plays 0  

Limits and Colimits V

From  James Davis on October 14th, 2019 17 plays 0  

Limits and Colimits IV

From  James Davis on October 11th, 2019 19 plays 0  

Limits and Colimits II

A good reference for exactness properties of classical colimits and limits is Weibel's book An Introduction to Homological Algebra.

From  James Davis on October 7th, 2019 16 plays 0