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We study a close relationship between the topological anti-de Sitter(TAdS)-black holes and topological de Sitter (TdS) spaces including theSchwarzschild-de Sitter (SdS) black hole in five-dimensions. We show that allthermal properties of the TdS spaces can be found from those of the TAdS blackholes by replacing $k$ by $-k$. Also we find that all thermal information forthe cosmological horizon of the SdS black hole is obtained from either thehyperbolic-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 theA(dS)/(E)CFT correspondences. Further we compute logarithmic corrections to theBekenstein-Hawking entropy, Cardy-Verlinde formula and Friedmann equation dueto thermal fluctuations. It implies that the cosmological horizon of the TdSspaces is nothing but the event horizon of the TAdS black holes and the dS/ECFTcorrespondence is valid for the TdS spaces in conjunction with the AdS/CFTcorrespondence for the TAdS black holes.Comment: 17 page

Relationship between five-dimensional black holes and de Sitter spaces