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If $f_{n}$ has a dense image, then $\bigcap (f_{1}\circ\cdots\circ f_{n})(X_{n})$ is dense
general-topology
the-baire-space
What is the cardinality of $\omega^\omega$?
elementary-set-theory
cardinals
descriptive-set-theory
the-baire-space
Prove that Baire space $\omega^\omega$ is completely metrizable?
general-topology
metric-spaces
the-baire-space
Is the Baire space $\sigma$-compact?
general-topology
compactness
the-baire-space
Baire space homeomorphic to irrationals
general-topology
measure-theory
continued-fractions
the-baire-space
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