Cohomology without projectives
Co-H-structures on equivariant Moore spaces
Let G be a finite group, the category of canonical orbits of G and b a contravariant functor to the category of abelian groups. We investigate the set of G-homotopy classes of comultiplications of a Moore G-space of type (A,n) where n ≥ 2 and prove that if such a Moore G-space X is a cogroup, then it has a unique comultiplication if dim X < 2n - 1. If dim X = 2n-1, then the set of comultiplications of X is in one-one correspondence with . Then the case leads to an example of infinitely...
Colimit-dense subcategories
Among cocomplete categories, the locally presentable ones can be defined as those with a strong generator consisting of presentable objects. Assuming Vopěnka’s Principle, we prove that a cocomplete category is locally presentable if and only if it has a colimit dense subcategory and a generator consisting of presentable objects. We further show that a -element set is colimit-dense in , and spaces of countable dimension are colimit-dense in .
Colimits for the pro-category of towers of simplicial sets
Colimits in free categories
Colimits of representable algebra-valued functors.
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
Combinatorial stacks and the four-color theorem
Combinatorial-geometric aspects of polycategory theory : pasting schemes and higher Bruhat orders (list of results)
Combinatorics of curvature, and the Bianchi identity.
Combinatorics of non-holonomous jets
Commutative diagrams for the inflation-restriction sequence
Commutative monoids all of whose principal ideals are projective.
Commutative semigroup cohomology.
Commutator theory in strongly protomodular categories.
Commuting Homotopy Limits.
Compact corigid objects in triangulated categories and co-t-structures
In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, , of a triangulated category, , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on whose heart is equivalent to Mod(End( )op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects which behave...
Compact objects surjectivity of epimorphisms and compactifications
Compact topologies on locally presentable categories
Compactifications, and ring epimorphisms.