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We give explicit descriptions of all path connected components and isolatedpoints of both spaces of composition operators and nonzero weighted compositionoperators acting from a Fock space $\mathcal{F}^p(\mathbb{C}^n)$ to another one$\mathcal{F}^q(\mathbb{C}^n)$.

Topological structure of the space of (weighted) composition operators between Fock spaces in several variables