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The iterated loop spaces of X are formed by applying Ω a number of times. There is an analogous construction for topological spaces without basepoint. The free loop space of a topological space X is the space of maps from the circle S 1 to X with the compact-open topology. The free loop space of X is often denoted by .
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Whereas a loop has a distinguished point on it, called its basepoint, a free loop lacks such a distinguished point. Formally, let be a topological space. Then a free loop in is an equivalence class of continuous functions from the circle to . Two loops are equivalent if they differ by a reparameterization of the circle.
In telecommunications, the free-space path loss (FSPL) (also known as free-space loss, FSL) is the attenuation of radio energy between the feedpoints of two antennas that results from the combination of the receiving antenna's capture area plus the obstacle-free, line-of-sight (LoS) path through free space (usually air). [1]
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