This man's name is given to any locally connected continuum. Any such continuum is, according to the Hahn-Mazurkiewicz theorem, a Hausdorff space that is the continuous image of the closed unit interval. This man also gave an example of a mapping based on the ternary system from the unit interval onto the unit square. That map is continuous and surjective, generating this man's namesake space-filling curve. He also gives his name to a set of propositions, including such gems as "two numbers are equal if their successors are equal," "zero is a number," and the induction axiom. FTP, name this Italian mathematician whose axioms define the natura
This man's name is given to any locally connected continuum. Any such continuum is, according to the Hahn-Mazurkiewicz theorem, a Hausdorff space that is the continuous image of the closed unit interval. This man also gave an example of a mapping based on the ternary system from the unit interval onto the unit square. That map is continuous and surjective, generating this man's namesake space-filling curve. He also gives his name to a set of propositions, including such gems as "two numbers are equal if their successors are equal," "zero is a number," and the induction axiom. FTP, name this Italian mathematician whose axioms define the natural numbers.
This man's name is given to any locally connected continuum.