Who introduced the term Homeomorphism?

I was wondering about asking this question on english.stackexchange but I think this term is strongly (and maybe solely) related to mathematics.


An excerpt from Gregory H. Moore's The evolution of the concept of homeomorphism:

The evolution of the concept of “homeomorphism” was essentially complete by $1935$ when Pavel Aleksandrov (Paul Alexandroff) at the University of Moscow and Heinz Hopf at the Eidgenossische Technische Hochschule in Zurich published their justly famous book Topologie, aiming to unify the two major branches of topology, the algebraic and the set-theoretic. They took as their fundamental undefined concept “topological space,” based on the closure axioms of Kazimierz Kuratowski [$1922$]. And they defined a homeomorphism between topological spaces in the way that is now standard: “A one–one continuous mapping $f$ of a space $X$ into a space $Y$ is called a topological mapping or a homeomorphism (between $X$ and $f(X)=Y′⊆Y$) if the inverse of $f$ is a continuous mapping of $Y′$ to $X$. Two spaces… are called homeomorphic if they can each be mapped topologically onto each other” [Aleksandrov and Hopf, $1935$, $52$].

| cite | improve this answer | |
  • $\begingroup$ Thank you, that is more than I hoped for. $\endgroup$ – Aufwind Jun 9 '13 at 11:17

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.