If the 1 point gap can last until the end of the season, Man City will fail to win the title. 
I know it is a small point gap, but it means a lot. Whatever the reason, Liverpool and Arsenal still have the bigger chance to win EPL title now. I'm very curious why you think Liverpool and Arsenal will experience a deadlock in the future? Do you have a strong reason?
When the title competition has three competitors, a gap like 1 point or 2 points can mean a lot because a team will have to beat two other teams to win the title. It is doubled challenge and it's always harder to cover your gaps with two other teams than only with one competitor.I know it is a small point gap, but it means a lot. Whatever the reason, Liverpool and Arsenal still have the bigger chance to win EPL title now. I'm very curious why you think Liverpool and Arsenal will experience a deadlock in the future? Do you have a strong reason?
Liverpool and Arsenal are leading with one point more than Manchester City and if we see goal difference, Arsenal have best goal difference. Three clubs will have different fixtures and it might give them different opportunities and challenge till the end day but with current advantage, Liverpool and Arsenal have better chance than Manchester City.
We will soon see something clearer after a match between Manchester City and Arsenal. If Manchester City can not beat Arsenal, they will waste a good opportunity to surpass Arsenal and also will have to see Liverpool running farther. The match between them will be key for their chances in this race.