This mathematician proved that any commutative ring that satisfies the ascending chain condition will have a polynomial ring that also satisfies that condition.
This man names a space that is compact but not locally compact, a kind of infinitely dimensional "cube". This mathematician proved that any commutative ring that satisfies the ascending chain condition will have a polynomial ring that also satisfies that condition. In a 1924 presentation, he described a hotel with an infinite number of occupied hotel rooms accommodating an infinite number of new guests to make the point that infinite numbers are strange. This man names a (*) vector space that is a complete metric space under its inner product. This early mathematical formalist listed the continuum hypothesis and the conjecture that arithmetic axioms are consistent as problems his colleagues should work on. For 10 points, name this German mathematician who presented a list of 23 unsolved problems at the beginning of the 20th century.
This man names a space that is compact but not locally compact, a kind of infinitely dimensional "cube".
David Hilbert [accept Hilbert cube or Hilbert space or Hilbert's problems] &lt;Bailey&gt;