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I discuss black hole evaporation in two different coordinate systems andargue that the results of the two are compatible once one takes the holographicprinciple into account. de Sitter space is then discussed along similar lines.Finally I make some remarks about smooth initial conditions in GR, which evolveto space-times with bifurcate horizons, and emphasize the care one must take inidentifying spaces of solutions of General Relativity which belong to the samequantum theory of gravity. No really new material is presented, but the pointof view I take on all 3 subjects is not widely appreciated.

Pedagogical notes on black holes, de Sitter space, and bifurcated horizons