prevents ko and makes miai of a and b. This and move are not obvious to me, and I suspect there may be holes in the reasoning.
ed?: here threatens to separate the the white stones by pushing through at . If the exchange of for is not sente then black can kill.
Black can get a sente seki by exchanging 'a' for 'b'. Playing 'c' instead leaves open the possibility of a ko. White 'b' in response to 'c' leaves a 1000 yr ko, although if white starts it early by throwing in at 'a' it is a direct ko for white but black will need a lot of approach moves. If black can play 'c' and white tenuki's, black 'b' makes it a direct ko.
This diagram seems to be white's best option.
This attack leads to seki. at 'a' would lead to ko. Again white is dead if the exchange of for isn't sente.
If at then white lives with territory at 2.
(Hicham): Isn't 4 atari?
Ed? True white needs to exchange 'a' for 'b' before playing