The first-year WMAP data taken at their face value hint that the Universe might be slightly positively curved and therefore necessarily finite , since all spherical ( Clifford-Klein ) space forms { \cal M } ^ { 3 } = { \cal S } ^ { 3 } / \Gamma , given by the quotient of { \cal S } ^ { 3 } by a group \Gamma of covering transformations , possess this property . We examine the anisotropy of the cosmic microwave background ( CMB ) for all typical groups \Gamma corresponding to homogeneous universes . The CMB angular power spectrum and the temperature correlation function are computed for the homogeneous spaces as a function of the total energy density parameter \Omega _ { \hbox { \scriptsize tot } } in the large range [ 1.01 , 1.20 ] and are compared with the WMAP data . We find that out of the infinitely many homogeneous spaces only the three corresponding to the binary dihedral group T ^ { \star } , the binary octahedral group O ^ { \star } , and the binary icosahedral group I ^ { \star } are in agreement with the WMAP observations . Furthermore , if \Omega _ { \hbox { \scriptsize tot } } is restricted to the interval [ 1.00 , 1.04 ] , the space described by T ^ { \star } is excluded since it requires a value of \Omega _ { \hbox { \scriptsize tot } } which is probably too large being in the range [ 1.06 , 1.07 ] . We thus conclude that there remain only the two homogeneous spherical spaces { \cal S } ^ { 3 } / O ^ { \star } and { \cal S } ^ { 3 } / I ^ { \star } with \Omega _ { \hbox { \scriptsize tot } } of about 1.038 and 1.018 , respectively , as possible topologies for our Universe .