The Homology Groups of Shape Spaces

David George Kendall, D. Barden, T. K. Carne, H. Le · Wiley series in probability and statistics · 2008

The prelims comprise: Decomposing the essential complexes Duality in shape spaces Spaces of shapes in 2-space Spaces of shapes in 3-space Spaces of shapes in 4-space Spaces of unoriented shapes in 2-space Spaces of unoriented shapes in 3-space Spaces of unoriented shapes in 4-space Closed formulae for the homology groups Duality in shape spaces

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