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...Sr no chapter pages topological spaces bases and subspaces special subsets different ways of defining topologies continuous functions compact connected first axiom space second lindelof separable t regular normal completely product quotient unit definition examples the set all on x metric page let be any non empty a family is called topology if it satisfies following conditions then ordered pair or throughout denotes this indiscrete power discrete remark coincide otherwise they are whereas not an infinite define i by as finite ii either assume that hence...