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Listing number : ウィキペディア英語版 | Listing number In mathematics, a Listing number of a topological space is one of several topological invariants introduced by the 19th-century mathematician Johann Benedict Listing and later given this name by Charles Sanders Peirce. Unlike the later invariants given by Bernhard Riemann, the Listing numbers do not form a complete set of invariants: two different two-dimensional manifolds may have the same Listing numbers as each other.〔.〕 There are four Listing numbers associated with a space.〔Peirce, pp. 99–102.〕 The smallest Listing number counts the number of connected components of a space, and is thus equivalent to the zeroth Betti number.〔Peirce, p. 99.〕 ==References==
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