Let X be the quotient space obtained from an 8-sided polygonal
region P by pasting its edges together according to the labeling
scheme acadbcb−1d. Note that all vertices of P are mapped to the
same point of the quotient space X by the pasting map.
(a) Calculate the integral homology groups of X.

Let X be the quotient space obtained from an 8-sided polygonal region P by pasting its edges together according to the l...