1978•Proceedings of the American Mathematical SocietyOpen access

Piecewise linear embeddings of balls into contractible manifolds

Kenneth C. Millett

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Abstract

The simplicial space of proper piecewise linear embeddings of k -balls into n -dimensional contractible manifolds which are equal to a fixed embedding along the boundary is contractible if n − k = 3 n - k = 3 .

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The simplicial space of proper piecewise linear embeddings of k -balls into n -dimensional contractible manifolds which are equal to a fixed embedding along the boundary is contractible if n − k = 3 n - k = 3 .

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Available abstract

The simplicial space of proper piecewise linear embeddings of k -balls into n -dimensional contractible manifolds which are equal to a fixed embedding along the boundary is contractible if n − k = 3 n - k = 3 .

Key concepts: Contractible space, Piecewise linear function, Algorithm, Boundary (topology), Embedding, Computer science, Mathematics, Combinatorics

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