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Let $X$ be space. A space $X$ is called right-separated if it can be well-ordered in such a way that every initial segment is open in $X$. See the related link (left-separated).See the related link (left-separated).

How could we show that hereditary lindelof number is the supremum of cardinalities of right-separated subspaces of $X$?

Let $X$ be space. A space $X$ is called right-separated if it can be well-ordered in such a way that every initial segment is open in $X$. See the related link (left-separated).

How could we show that hereditary lindelof number is the supremum of cardinalities of right-separated subspaces of $X$?

Let $X$ be space. A space $X$ is called right-separated if it can be well-ordered in such a way that every initial segment is open in $X$. See the related link (left-separated).

How could we show that hereditary lindelof number is the supremum of cardinalities of right-separated subspaces of $X$?

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Paul
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A question on hereditary Lindelof number

Let $X$ be space. A space $X$ is called right-separated if it can be well-ordered in such a way that every initial segment is open in $X$. See the related link (left-separated).

How could we show that hereditary lindelof number is the supremum of cardinalities of right-separated subspaces of $X$?