How to prove projection function is continuous and onto?
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The continuity of ff strongly relies (of course) on the topology X2X2 is provided with. If X2X2 has the product topology, then the projections onto the factors are clearly continuous (if you like, this is just by definition of product topology, see here).
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The continuity of ff strongly relies (of course) on the topology X2X2 is provided with. If X2X2 has the product topology, then the projections onto the factors are clearly continuous (if you like, this is just by definition of product topology, see here).
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