In Kogo's joseki dictionary, it is suggested that black can play

to get sente:
$$Wc Competing for sente
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . a . . . . . . . . . . . . . |
$$ | . . 1 3 b 4 . . . . . . . . . . . . . |
$$ | . . 2 X . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$Wc Competing for sente
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . a . . . . . . . . . . . . . |
$$ | . . 1 3 b 4 . . . . . . . . . . . . . |
$$ | . . 2 X . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
It then says that white typically play (a) next, and playing at (b) is typically not favorable, and list this sequence (11 - 14 is a, b, c, d)
$$Wc One possible sequence
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . a 9 0 . . . . . . . . . . . . |
$$ | . c O O 1 X . b . . . . . . . . . . . |
$$ | . 6 X X 3 2 . . . , . . . . . , . . . |
$$ | . . . 5 4 7 . . . . . . . . . . . . . |
$$ | . . . d 8 . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$Wc One possible sequence
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . a 9 0 . . . . . . . . . . . . |
$$ | . c O O 1 X . b . . . . . . . . . . . |
$$ | . 6 X X 3 2 . . . , . . . . . , . . . |
$$ | . . . 5 4 7 . . . . . . . . . . . . . |
$$ | . . . d 8 . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
However, I do not understand why

is played at F15. What if it is played at C15? The three black stones seem to be in trouble. My reading is not good, but it seems that the outcome does not look nice to black. One possible variation is
$$c B Will black lost the group?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . 2 . . . . . . . . . . . . . . . . . |
$$ | . 1 O O O X . c . . . . . . . . . . . |
$$ | . X X X O X . . . M . . . . . , . . . |
$$ | . 3 O O X b . . . . . . . . . . . . . |
$$ | . 4 5 6 0 . . . . . . . . . . . . . . |
$$ | . 8 7 9 . . . . . . . . . . . . . . . |
$$ | . a . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
- Click Here To Show Diagram Code
[go]$$c B Will black lost the group?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . 2 . . . . . . . . . . . . . . . . . |
$$ | . 1 O O O X . c . . . . . . . . . . . |
$$ | . X X X O X . . . M . . . . . , . . . |
$$ | . 3 O O X b . . . . . . . . . . . . . |
$$ | . 4 5 6 0 . . . . . . . . . . . . . . |
$$ | . 8 7 9 . . . . . . . . . . . . . . . |
$$ | . a . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
and the top two black stones need to run for their life. Maybe this move to compete for sente is only possible when black has a stone around the cross position, so that the two black stones are relative safe? Still, white is out, and it seems that white can live in corner relatively easily by playing at, say, A18.