Many mathematical objects and even theories are named after people, and most of the people with mathematical things named after them did not name said things after themselves. There is the famous anecdote that in a seminar David Hilbert had to ask what a "Hilbert space" was. Presumably Hilbert called it something else.

In fact, mathematics is full of things named after people. A very short and nowhere near complete list include the following:

Of course, there are also many mathematical objects with very mundane names. What are some examples of mathematical objects, preferably those involved in active areas of research, which retained the names given to them by their discoverers?

  • $\begingroup$ e.g., Baire space, Dedekind cut/domain, Germain prime, Mersenne number, Fermat number, Riemann integral, Lebesgue integral, Fourier transform $\endgroup$ – J. W. Tanner Aug 30 '20 at 2:28
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    $\begingroup$ You mean like Leibniz's "function", Hamilton's "vector", Dedekind's "field", Grothendieck's "topos" and "motive", and Mandelbrot's "fractal"? There are too many. $\endgroup$ – Conifold Aug 30 '20 at 22:40
  • $\begingroup$ Eilenberg-Mac Lane's category, functor and natural transformation; fundamental notions in Category Theory (which is still an active field of research). See their 1945 article "General Theory of Natural Equivalences" for reference. $\endgroup$ – mrtaurho Aug 31 '20 at 21:17

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