Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH

Van Douwen, Eric K.; Tall, Franklin D.; Weiss, William A. R.

doi:10.1090/S0002-9939-1977-0514998-1

Nonmetrizable hereditarily Lindelöf spaces with point-countable bases from CH
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by Eric K. Van Douwen, Franklin D. Tall and William A. R. Weiss PDF

Proc. Amer. Math. Soc. 64 (1977), 139-145 Request permission

Abstract:

A nonmetrizable hereditarily Lindelöf space with a point-countable base is obtained by using the continuum hypothesis to construct a Lusin subspace of a countable chain condition first countable nonseparable Baire space.

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