Without knowing all of the details, one neighbour can take another to court if A does not allow B access your carry out maintenance and repair works under the access to neighbouring land act.
If the access is granted upholstery could possibly have to pay the other side' legal costs.
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1. At the outset, as you are in possession of the loft and have been for some time, you will get an injunction to protect your possession of the loft. Your neighbour's argument that he needs access to the loft to carry out works to his ceiling is transparently a makeweight argument to justify his usurping of your possession of the loft. Accordingly, he won't be able to successfully resist you getting an injunction on the basis you reserve the right to possession to yourself.
2. The Access to Neighbour Land Act, 1992, which the other Expert mentioned, allows access to neighbouring land to carry out works of maintenance. However, before you would ever have to grant access under this Act, your neighbour would have to provide you with a Schedule of works he is carrying out and explain why he needs access to your loft to maintain his ceiling, which is merely the underside of the surface adjacent to your loft. Most judges will see this attempt to gain access as merely another ploy to bring an end to your "exclusive possession" which is an essential element of you obtaining adverse possession. So, the important point is that you need to keep him out if you want to maintain your claim to adverse possession. Once he breaks your exclusive possession, which he is seeking to do, he brings an end to your claim for adverse possession. So for that reason you need to keep him out at all costs.
3. The key idea here, is that you maintain "exclusive possession" as once you lose exclusive possession, your claim to adverse possession is gone. So, allow no works, even if he serves a Schedule of Works. Go to court and resist it. Be aware that a court order permitting access under that Act will not break the "exclusive possession" you have. So keep him out. In the meantime, get the loft registered in the Land Registry as yours.
4. You need to recognise this move from your neighbour is a "stunt" to blindside you, so you lose the loft. So, keep going with the claim in the Land Registry and get it registered.
5. Be aware additionally that if your neighbour breaks in and enters into your loft that this will not help him prevent your claim for adverse possession as you can immediately put him out as he is trespassing. So get an injunction to prevent him if necessary.
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