Homology, Homotopy and Applications

Table of Contents

The isomorphism conjecture in $L$-theory: graphs of groups

A homotopy colimit theorem for diagrams of braided monoidal categories

Semicoverings: a generalization of covering space theory

Jacobi-Zariski exact sequence for Hochschild homology and cyclic (co)homology

Normal and conormal maps in homotopy theory

Morphic cohomology of toric varieties

Cubical approach to derived functors

Computing braid groups of graphs with applications to robot motion planning

Scissors congruence as $K$-theory

Potentials of homotopy cyclic A-infinity algebras

A fast algorithm for constructing topological structure in large data

Weight structures and “weights” on the hearts of $t$-structures

Class-combinatorial model categories

The isomorphism between motivic cohomology and $K$-groups for equi-characteristic regular local rings

Erratum to “Adding inverses to diagrams encoding algebraic structures” and “Adding inverses to diagrams II: Invertible homotopy theories are spaces”