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The metrizability conditions and cardinal invariants for compactly-fibered coset spaces in paratopological groups in terms of their remainders are considered. It mainly shows that: (1) Suppose that X is a quotient of a k-gentle paratopological group with respect to a compact subgroup; then the remainder Y of X is either pseudocompact or Lindelöf; (2) Suppose that X is a quotient of paratopological...
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