1. Plural of cohomology; a mathematical tool in algebraic topology that assigns algebraic structures (such as groups or rings) to topological spaces to study their properties.
Usage: technical; mathematics; used primarily in advanced mathematics and theoretical physics

Examples

• The cohomologies of the manifold revealed important information about its topological structure.
• Different cohomologies can be computed using various algebraic methods.
• The study of cohomologies is essential in modern algebraic topology.
• Researchers compared the cohomologies of two distinct spaces to determine their topological properties.
• Computing cohomologies requires sophisticated mathematical techniques and software.