1. Plural of homeomorphism; continuous bijective functions between topological spaces whose inverses are also continuous, preserving the topological structure.
Usage: mathematics; topology; technical

Examples

• In topology, homeomorphisms are used to classify spaces that have the same topological properties.
• The study of homeomorphisms helps mathematicians understand which geometric shapes are equivalent from a topological perspective.
• Two spaces are considered topologically equivalent if there exists a homeomorphism between them.
• Homeomorphisms preserve properties like connectedness and compactness.
• The course covered various examples of homeomorphisms between familiar geometric objects.