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Definitions and examples department of mathematics 18.965 fall 04 lecture notes tomasz s Therefore, the manifold m[2] is a handlebody of genus g, where g is the number of attached handles of index 1. For instance, the connected sum of two tori is a pr tzel type surf
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Topological manifolds t basic type of manifolds However, the phrase \a manifold m supposes that there is an unnamed di erential structure We assume that the reader is familiar with the definition and basic properties of topological spaces, a m is a topological space
The word \manifold, without other adjectives, will denote a smooth manifold as these will be the subject of the remainder re s is suppressed
