Hi Geert, I annotated your endgame below. K+P vs K is a fundamental endgame and well worth mastering completely. :)
king vs king-pawn
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Thanks for this elaborated reply
geert
54.Ka2 loses to 54...Kc3. See the win criteria at the start of the annotated game.
The only thing that I have to ask is that the message is weird
Thanks for telling me that
Why is it so hard to read 
I'm new here and I posted this under game analysis, but it belongs here.
In the game geert-seuntjes I met an interesting situation which resulted in a draw (although I intended to abandon first).
I had only my king and my opponent his king and a pawn.
When his pawn was on b3 and his king behind it, I realized I could make a draw of it. When his king was on the 4th line I needed to stay on the b1 and b2 field, when he moved to the third line, I had to face him.
What is more interesting is that I think that if the king of my opponent had preceded his pawn, he would have won. He made a mistake on move 54.
Is my analysis correct?
geert