Search for tag: "jfdavis"

Assembly Maps

From  James Davis 25 plays 0  

Farrell-Jones Isomorphism Conjectures

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

From  James Davis 37 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 19 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 28 plays 0  

Generalized Homology of C-spaces

From  James Davis 16 plays 0  


From  James Davis 34 plays 0  

The Bar Resolution

From  James Davis 28 plays 0  

Functorial models for BC, EC, ho(co)limits, and C-CW-approximations

From  James Davis 13 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 33 plays 0  

Proof of Theorem 3.11 in DL

From  James Davis 20 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 47 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 40 plays 0  

Ruminations on the Orbit Category

From  James Davis 30 plays 0  

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

From  James Davis 25 plays 0  

C-CW Approximations

From  James Davis 22 plays 0  

Free C-CW complexes

From  James Davis 26 plays 0  

ZC-Homological Algebra (Limits and Colimits VI)

From  James Davis 31 plays 0  

Yoneda's Lemma

From  James Davis 18 plays 0  

Simplicial Sets II

From  James Davis 28 plays 0  

Simplicial Sets I

From  James Davis 38 plays 0  

Fundamental Groupoids and Local Coefficient Systems

From  James Davis 23 plays 0  

Groupoids and Equivalences of Categories

From  James Davis 32 plays 0  

Limits and Colimits V

From  James Davis 40 plays 0  

Limits and Colimits IV

From  James Davis 48 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 44 plays 0