Question

Q. What is difference b/w homomorphism and homeomorphism?

Answer 1

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Answer on Question #60414 – Math – Abstract Algebra

Question

What is a difference between homomorphism and homeomorphism?

Solution

A homomorphism is a mapping in algebra, while a homeomorphism is a mapping in topology.

A homomorphism is a mapping between two algebraic systems which preserve algebraic structure. It is not necessary bijection (one-to-one and onto).

We say that homomorphic structures are "similar".

A homeomorphism is a bijective and continuous mapping in topology, its inverse is also continuous. In topology "homeomorphic" means "the same".