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See Also: fundamental group, tangent space, real tree
| Other names: |
parametrized curve, parameterized curve, path, trajectory |
| Also defines: |
closed curve, Jordan curve, regular curve, simple closed curve, simple curve, plane curve, planar curve, convex curve, locally convex curve, local multiplicity, globally convex, global multiplicity |
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Cross-references: homeomorphic, wild, embeddings, pathological, order, equivalence class, equivalence relation, relation, composition, inverse, monotone decreasing, monotone increasing, derivative, continuously differentiable, reparameterization, equivalent, chart, neighbourhood, open, submanifold, connected, non-singular, vector-valued function, tangent space, belongs, differentiable, differential manifold, dimension, odd, ellipse, closed, affine hyperplane, sum, points, hyperplane, intersection, smooth, unit circle, domain, loop, endpoints, closed interval, injective, mapping, topological space, continuous mapping, line, complex, Riemann surface, surface, geometry, object, ground field, complex numbers, variety, algebraic geometry, multiple, conversely, image, subset, arc, variable, real, function
There are 281 references to this entry.
This is version 25 of curve, born on 2002-08-01, modified 2007-10-21.
Object id is 3255, canonical name is Curve.
Accessed 45887 times total.
Classification:
| AMS MSC: | 51N05 (Geometry :: Analytic and descriptive geometry :: Descriptive geometry) | | | 53B25 (Differential geometry :: Local differential geometry :: Local submanifolds) | | | 14F35 (Algebraic geometry :: homology theory :: Homotopy theory; fundamental groups) | | | 14H50 (Algebraic geometry :: Curves :: Plane and space curves) |
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Pending Errata and Addenda
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