Abstract:
In this study we introduce the retraction and conditional
retraction of braids and braid groups, we show the retraction of braid
group is not necessary a braid group also a retraction of a singular braid
is not necessary a singular braid. We prove that a retraction of a braid
is a braid and every retraction of a braid group is a monoid also we prove
that a retraction is a braid invariant. The limit of all types of retraction
is described.
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