The competition in the Premier League is very tight. Last season it was only Man City and Arsenal. But, this season Liverpool and Tottenham also have a pretty good chance of becoming Premier League champions. No one thought that Tottenham could play this well so far because they had lost Harry Kane who moved to Bayern Munich. Liverpool also has a pretty good performance, and when compared to Tottenham, I think Liverpool has a more promising squad.
The progress achieved by Tottenham has indeed impressed everyone, many previously assumed that Tottenham would experience a downturn after releasing their captain Harry Kane to Bayern Munchen. Ange Postecoglou was able to create an atmosphere and stability within his squad, even though in terms of depth Liverpool squad was better and more promising. Tottenham should be well watched by the current EPL title challengers.
You are very right, Tottenham is doing incredibly well, far much better than i ever expected, but i still hope the leave they will drop a bit for Arsenal to take that first position in the EPL table, their next game is with Fulham, and it already expected that they (Tottenham) may likely win that game effortlessly even though we can't really underrate Fulham.
Both clubs have maintained same number of points for some time now, and personally, it looking like they both may still continue to maintain same points even after their coming game, since Arsenal will be facing Chelsea, and it is already expected that they will beat Chelsea, and if Tottenham also beat Fulham, both teams will still come out with the same point, waiting eagerly to see which of this two clubs will give way for the other.