January, 2014 | Math Research of Victor Porton

I’ve asked this question at math.StackExchange.com Let be a proximity. A set is connected regarding iff . Conjecture Set is

On a common generalization of funcoids and reloids

Just a few seconds ago I had an idea how to generalize both funcoids and reloids. Consider a precategory, whose

I’ve proved this my conjecture: for every composable funcoids and . See my book (in the current draft the theorem

In the draft of my book there was an error. I’ve corrected it today. Wrong: . Right: . There are

I’ve proved: There exists a filter which cannot be (both weakly and strongly) partitioned into ultrafilters. It is an easy