It was founded in 1997[1] by a group of topologists who were dissatisfied with recent substantial rises in subscription prices of journals published by major publishing corporations.

The journal was open-access for its first ten years of existence and was available free to individual users, although institutions were required to pay modest subscription fees for both online access and for printed volumes.

A traditional printed version is also published, at present on an annual basis.

The journal has grown to be well respected in its field, and has in recent years published a number of important papers, in particular proofs of the Property P conjecture and the Birman conjecture.

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