Crossing-changeable braids from chromatic configuration spaces

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Motivated by the work in Li et al.(2019),this paper deals with the theory of the braids from chromatic configuration spaces.These kinds of braids possess the property that some strings of each braid may intersect together and can also be untangled,so they are quite different from the ordinary braids in the sense of Artin (1925).This enriches and extends the theory of ordinary braids.
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