Raspberries taking over the veg plot.

in Fruit & veg
Does anyone grow raspberries? How do you keep them where you planted them?
Last year I bought 6 autumn raspberry plants "Heritage". They grew well and had quite a lot of fruit. I cut them down in the winter and new leafy shoots are growing. But they are also popping up all around the plants up to about 3 ft away. I don't want them taking over the vegetable garden. I've dug up quite a lot, but I don't need any more plants as I have 2 other varieties as well.
Last year I bought 6 autumn raspberry plants "Heritage". They grew well and had quite a lot of fruit. I cut them down in the winter and new leafy shoots are growing. But they are also popping up all around the plants up to about 3 ft away. I don't want them taking over the vegetable garden. I've dug up quite a lot, but I don't need any more plants as I have 2 other varieties as well.
Dordogne and Norfolk. Clay in Dordogne, sandy in Norfolk.
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I left about 1"-2" above the soil surface to deter any adventurous runners.
https://smile.amazon.co.uk/gp/product/B00KYWOB0E/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
Billericay - Essex
Knowledge is knowing that a tomato is a fruit.
Wisdom is not putting it in a fruit salad.
I clicked on that link but it isn't available.
I'll just have to keep digging! I wasn't sure whether it would harm the plants.
I rather think the raspberries will win - mine are Polka.