Remember that in atari go you don't need two eyes to live. One eye is enough as long as it's two spaces or bigger
White starts with a daring 3-2 point invasion. Black must play because if White plays there she has a large enough eye in the corner. has to move outside and not into the corner because then Black plays and kills. Black now has 3 ways to resist
is the weakest resistance. It protects the corner but leaves the side wide open. White jumps and plays hane-tsugi in sente and lives with .
protects the side but leaves to much cutting points. After the are miai and White will capture some stones.
offers the strongest resistance. White forces with - and then plays . Note that Black can never play at so White can play there whenever she wants.