cohomologies
noun as in strong fondness
Strongest matches
Example Sentences
Example:While homologies are concerned with cycles, cohomologies focus on co-boundaries.
Definition:Similar to cohomologies, but in a different context. Homologies deal with cycles and boundaries in a space, while cohomologies deal with co-boundaries and co-cycles.
Example:Cochains and their coboundaries are fundamental in the construction of cohomology groups.
Definition:In the context of cohomology, a cochain is a function assigning elements from a group to cochains and coboundaries are the boundaries of chains in a reversed direction.
Example:Cocycles play a crucial role in the cohomology of group extensions.
Definition:In cohomology theory, a cocycle is a collection of elements that satisfy a certain cocycle condition, which is similar to the condition satisfied by cycles and cocycles in homology theory.
Browse