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Characterization of monovalued reloids with atomic domains (Solved)

Importance: Medium ✭✭
Author(s): Porton, Victor
Subject: Topology
Keywords: injective reloid
monovalued reloid
Recomm. for undergrads: no
Posted by: porton
on: October 26th, 2010
Solved by:
Conjecture   Every monovalued reloid with atomic domain is either
  1. an injective reloid;
  2. a restriction of a constant function

(or both).

I found a counter-example for this conjecture (see Funcoids and Reloids article, section “Some counter-examples”) based on a counter-example of an equivalent conjecture found by my colleagues on MathOverflow.

See Algebraic General Topology for definitions of used concepts.

Bibliography

*Victor Porton. Algebraic General Topology


* indicates original appearance(s) of problem.
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