Algebraic general topology
From Wikinfo
Algebraic general topology (AGT) is the theory of funcoids and reloids.
It is called algebraic because there are algebraic operations on the sets of funcoids and reloids.
For example (generalized) continuousness is defined with algebraic formulas instead of bad old epsilon-delta notation. (See Algebraic General Topology for details.)
AGT as new field of research
During decades the development of general topology was stalled. It was said that general topology is dead meaning that nothing significantly new can be discovered in this field.
Introduction of AGT revolutionaries general topology with a new field of research.
At the time of writing this there are more than 17 open problems about funcoids and reloids, see Open Problem Garden.
Victor Porton pleads to nominate him for Abel Prize for the discovery of AGT.

