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 
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.