  We study a close relationship between the topological anti-de Sitter
(TAdS)-black holes and topological de Sitter (TdS) spaces including the
Schwarzschild-de Sitter (SdS) black hole in five-dimensions. We show that all
thermal properties of the TdS spaces can be found from those of the TAdS black
holes by replacing $k$ by $-k$. Also we find that all thermal information for
the cosmological horizon of the SdS black hole is obtained from either the
hyperbolic-AdS black hole or the Schwarzschild-TdS space by substituting $m$
with $-m$. For this purpose we calculate thermal quantities of bulk,
(Euclidean) conformal field theory (ECFT) and moving domain wall by using the
A(dS)/(E)CFT correspondences. Further we compute logarithmic corrections to the
Bekenstein-Hawking entropy, Cardy-Verlinde formula and Friedmann equation due
to thermal fluctuations. It implies that the cosmological horizon of the TdS
spaces is nothing but the event horizon of the TAdS black holes and the dS/ECFT
correspondence is valid for the TdS spaces in conjunction with the AdS/CFT
correspondence for the TAdS black holes.
