Garden wall and neighbour

Hi,
I live in a terraced house. The back wall runs along the back of all the gardens. The original wall was poor quality and 12 years back in a very windy storm my back wall was blown down and about a foot of the neighbours walls either side. I think it was where there was a natural division in the wall construction so that section blew down and the other walls remained upright.

I repaired the complete section, with my then neighbours approval, which included the foot either side of my two side boundary walls. The neighbour on my right is there 10 years now. He wants to knock down 'his' wall and replace it with a wooden fence as a cheaper option to rebuilding his wall. It is cracked and in poor condition and could blow down in a storm. They were poorly built, and most people have replaced them with better built ones.

Unfortunately he also wants to cut off the foot of new wall that is part of his boundary. Unfortunately, this bit is a strengthening pillar and if he cuts it off it leaves my wall now weaker with no strengthening pillar. He says he doesnt care, it is his wall, which is correct.

Any suggestions how to approach this?
Is he obliged to put a strengthening pillar on my bit of wall?
Hope this is not too long.
Thanks for any suggestions.

I've no expertise in this but is the pillar totally on his side and if it is then does it interlock with the wall on your side?
Is it possible to remove the section on his side without causing damage to your wall on your side?
When you say that he wants to cut the part of the wall that is on his side do you literally mean "cut"?
Is the wall made of solid blocks on their sides (i.e. a 4" deep wall) or solid blocks laid flat (i.e. a 9" deep wall) or is it made of cavity blocks? I assume it's the first one and hence you needed pillars for stability.
Is there a wall or fence dividing the gardens and does this abut the end wall and if so then could this wall or fence be damaged or otherwise compromised by the removal of the pillar on the end wall?

Hi Prosper,
I'll get a photo tomorrow.
Yes, the pillar interlocks with, and is fully integrated with my wall, it is the end bit of the new wall section. There is a small gap between it and my neighbours wall. The support pillar/blockwork unfortunately is all on his side. Not sure what the thickness is but I think it's the narrower as you describe because there are several of these wider support 'pillars' along it. If cut away, it will leave my wall ending with a narrow profile.
There is a fence down the side boundary that abuts the wall but it is separate with a strong post embedded in concrete. It probably wouldn't be damaged but he wants to remove the last section of this fence which is in poor condition and replace it.
He only announced all this by the way today when I questioned him about sawing off a bit of the boundary fence, which I also paid for, but which he doesnt care about either! It's his boundary fence too he says, which is correct also.

Oh the joys of building garden walls (we just finished ours in the last few weeks).a wall needs support pillars depending on the size & length of the wall.pillars can be on one side but it weakens the wall a lot.
Where is the boundary too your property ? Is it the middle of the current wall ???

If there is any disputes regarding building garden walls (always have on in writing and signed by both parties )the best bet is too step the wall into your garden by 1/2 inches which means you'll loose a bit of your garden.it would be on your property,it would be your wall and the neighbour cant do anything about it.

I wounder why he is sawing off the boundary fence ?? Is he looking at doing some work.

You say you paid for your boundary fence and he s cutting it down,I'd stop him straight away.did he pay towards the fence ? And who's property is the fence on

I am going to try to get a dialogue going over my concerns, so will not be posting anymore, too delicate a situation. Thanks for all the responses.