The SINGULAR library is a popular choice for algebraic topology and homology theory, providing tools for computing homology groups, cohomology rings, and other algebraic invariants.

The KNOTTHEORY library is dedicated to geometric topology and knot theory, offering functions for knot invariants, knot classification, and knot visualization.

The SIMPLICIAL library is designed for computational topology and simplicial complexes, providing algorithms for computing homology groups, simplicial cohomology, and other topological invariants.

The HOMOLOGY library is specifically designed for homology and cohomology calculations, offering efficient algorithms for computing homology groups, cohomology rings, and related invariants.

The PERSISTENT library is tailored for topological data analysis and persistent homology, providing tools for computing persistence diagrams, homology groups, and other topological features.

The MORSE library is dedicated to Morse theory and Morse homology, offering functions for computing Morse functions, Morse decompositions, and Morse homology groups.

The SIMPLICIAL library is designed for combinatorial topology and simplicial complexes, providing algorithms for computing homology groups, simplicial cohomology, and other topological invariants.

The HOMOLOGY library is specifically designed for homology and cohomology calculations, offering efficient algorithms for computing homology groups, cohomology rings, and related invariants.

The PERSISTENT library is tailored for topological data analysis and persistent homology, providing tools for computing persistence diagrams, homology groups, and other topological features.

The MORSE library is dedicated to Morse theory and Morse homology, offering functions for computing Morse functions, Morse decompositions, and Morse homology groups.

The KNOTTHEORY library is designed for knot theory and knot invariants, providing algorithms for computing knot polynomials, knot groups, and other knot-related invariants.

The HOMOLOGY library is specifically designed for homology and cohomology calculations, offering efficient algorithms for computing homology groups, cohomology rings, and related invariants.

The PERSISTENT library is tailored for topological data analysis and persistent homology, providing tools for computing persistence diagrams, homology groups, and other topological features.

The MORSE library is dedicated to Morse theory and Morse homology, offering functions for computing Morse functions, Morse decompositions, and Morse homology groups.

The KNOTTHEORY library is designed for knot theory and knot invariants, providing algorithms for computing knot polynomials, knot groups, and other knot-related invariants.