Identifying the ways in which a circle is linked to a non-sphere is not as easy as it seems
Topology is the mathematical study of properties preserved through deformation, twisting, and stretching of objects. For example, a circle is topologically equivalent to an ellipse into which it can be stretched. Manifolds are objects that can be mapped in this way. Fibres, and fibring, describe the mathematical way in which a point on the base manifold is projected to a neighbouring space. Numerous important questions remain unanswered in relation to the fibring of manifolds and groups. The EU-funded FIBRING project is tackling several of them with the goal of achieving a complete description of all possible fibrings over the circle for aspherical manifolds and groups in high dimensions.
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