A strong epimorphism refers to a type of morphism between mathematical objects that exhibits several desirable properties. If you are looking for synonyms for this term, you might consider alternative concepts such as surjective homomorphisms, split epimorphisms, or regular epimorphisms. Each of these terms describes a different type of mathematical map that satisfies specific criteria related to bijectivity, preservation of structure, or other features. By exploring these various synonyms and understanding their implications, you can deepen your understanding of this central concept in algebraic topology, category theory, and other areas of advanced mathematics.