… introduce a homology theory for small categories with functor … homology theories such as
group homology, poset homology… homology can be realized as homologies of small categories …

… define a braided monoidal functor J4 with source the category 4HB of connected 4-dimensional
2-… to the (2k + 1)th homology of Y any Lagrangian subspace L ⊂ H2k+1(Y; R), by setting …

… The goal of the present paper is to extend the realization functor to … 2-category: the
locally finite Burnside 2-category, the bilocally finite Burnside 2-category and the Burnside 2-category …

… category over the formal triangular matrix ring T can be, via some functors, reconstructed
from the categories of modules over A and B. Using these functors, one can describe classes of …

… derived functors between derived categories… some of their useful properties which will pop
up times and again; also, we explain what is the homological dimension of abelian categories …

… Any induced isomorphism over the chain-complex of homology can be the abelian X
defined for the functors of hypercohomology is a derived category for all the locally defined …

… The theory of (derived) colimits in the categories of presentations is developed in [10]. It
is shown in that paper that a lot of interesting functors like cyclic homology or certain K-functors …

… of modules is important for the homological classification of modules and rings. … homological
global dimensions of the skew group ring RG by using the induced and restricted functors. …

… functors that do not come from modular categories, for … categories that yield modular
functors, we discuss Drinfeld centers of (not necessarily spherical) pivotal finite tensor categories (…

… of higher homological algebra, a … categories, d-cluster tilting subcategories, and some of
their basic properties. Also, for a d-abelian category M , we recall some results about the functor …