منابع مشابه
Configuration Spaces on Punctured Manifolds
The object here is to study the following question in the homotopy theory of configuration spaces of a general manifold M : When is the fibration Fk+1(M) → Fr(M), r < k + 1, fiber homotopically trivial? The answer to this question for the special cases when M is a sphere or euclidean space is given in [4]. The key to the solution of the problem for compact manifolds M is the study of an associa...
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Many high dimensional data sets are characterized by a small number of degrees of freedom. Standard manifold-based dimensionality reduction techniques include the bias that all data lies on (or near) a single global manifold. Here we consider data sampled from multiple manifolds. We demonstrate a straightforward technique for multiple manifold embedding: the data is clustered, and each cluster ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1965
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1965-0208606-9