Best tree for planting near patio?

A newbie here, from the UK.
I've got a small garden, about half of which is covered over with patio. I'd love to plant a tree, but my partner is worried that th roots will end up breaking through the patio paving. Can anyon recommend a tree with non-invasive roots?
Our soil is alkaline and quite moist. The tree would ideally not gro much higher than 15 ft.
Thanks! Rut
-- RLN1001
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The late garden writer Henry Mitchell commented that in many situations, you *think* you want a tree, when in fact, what you really want is a large shrub. Reason: Nature is full of surprises and the tree that was suppose to be a dwarf variety ends up being the size of a garage.
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any NATURALLY dwarf fruit trees. otherwise, why not put the tree in a pot? that way can be sure it wont break up the patio. Ingrid

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