In algebraic topology, Moore space is the name given to a particular topological space. Given an abelian group G and an integer n geq 1, let X be a CW complex such that H_n(X) approx G and ilde{H}_i(X) = 0 for i
eq n, where H_n(X) denotes the n -th Singular homology of X and ilde{H}_i(X) is the i th reduced homology group. Then X is a Moore space.
=References=
*Allen Hatcher. Algebraic topology , Cambridge University Press (2002), ISBN 0521795400. For further discussion of Moore spaces, see Chapter 2, Example 2.40. A free electronic version of this book is available on the [
http://www.math.cornell.edu/~hatcher/ author s homepage].