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Wikipedia states that homomorphisms are structure preserving maps from one algebraic structure to another.

A homeomorphism is a topology-preserving map from one topological space to another (that also admits an inverse).

However, since a topological space is a mathematical structure but not an algebraic structure, that would mean that a homeomorphism is not a homomorphism (though it is an isomorphism).

Is that true, or should I ignore wikipedia and assume that the term homomorphism can also apply to maps on non-algbraic structures?

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    Topological spaces are algebraic structures in the sense of category theory. – 2017-01-31
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    Possibly relevant: http://math.stackexchange.com/questions/1477942/is-topological-space-an-algebraic-structure – 2017-01-31
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    The "structure" a homeomorphism preserves is the topology. – 2017-01-31

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