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Topological manifold

topological space (which may also be a separated space) which locally resembles real n-dimensional space in a sense defined below

Pronunciation
/ˌtɑpəˈlɑʤəkəl ˈmænəˌfoʊld/
/tɒpəˈlɒʤɪkəl ˈmanɪfəʊld/