The idea here is to contain the Black king and push him towards the edge. The process of containment is known as 'boxing' the king with progressively reducing the size of the box. It need not necessarily be a corner.

1.Ke2 Ke4 [1...Kd5 2.Kd3 Ke5 3.Ra5+ Ke6 4.Kd4 Kd6 5.Ra6+ Kd7 6.Ke5 Kc7 7.Rd6 Kb7 8.Kd5 Kc7 9.Kc5 Kb7 10.Rc6 Ka7 11.Rc7+ Ka8 12.Kb5 Kb8 13.Kb6 Ka8 14.Rc8# ; 1...Kc5 2.Ra5+ Kb6 3.Re5 Kc6 4.Kd3 Kd6 5.Kd4 Kc6 6.Rd5 Kb6 7.Rc5 Kb7 8.Kd5 Kb6 9.Kd6 Kb7 10.Rc6 Kb8 11.Rc7 Ka8 12.Kc5 Kb8 13.Kb6 Ka8 14.Rc8# ]

2.Ra5 Kd4 3.Kd2 Kc4 4.Ke3 Kb4 Attacking the rook diagonally!

5.Rd5 Kc4 6.Re5 Kc3 7.Re4 Kc2 8.Rc4+ Kb3 9.Kd3 Kb2 [If 9...Ka2 10.Kc2 Ka3 11.Rd4 A nice waiting move! 11...Ka2 12.Ra4# ]

10.Rc3 Kb1 11.Rc2 Ka1 12.Kc3 Kb1 13.Kb3 Ka1 14.Rc1# 1-0

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