EUDML

Currently displaying 1 – 5 of 5

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Concerning almost realcompactifications

Chen-tung Liu; George E. Strecker — 1972

Czechoslovak Mathematical Journal

Construction of Cartesian closed topological hulls

Jiří Adámek; George E. Strecker — 1981

Commentationes Mathematicae Universitatis Carolinae

When is $𝐍$ Lindelöf?

Horst Herrlich; George E. Strecker — 1997

Commentationes Mathematicae Universitatis Carolinae

Theorem. In ZF (i.e., Zermelo-Fraenkel set theory without the axiom of choice) the following conditions are equivalent: (1) $ℕ$ is a Lindelöf space, (2) $ℚ$ is a Lindelöf space, (3) $ℝ$ is a Lindelöf space, (4) every topological space with a countable base is a Lindelöf space, (5) every subspace of $ℝ$ is separable, (6) in $ℝ$ , a point $x$ is in the closure of a set $A$ iff there exists a sequence in $A$ that converges to $x$ , (7) a function $f : ℝ \to ℝ$ is continuous at a point $x$ iff $f$ is sequentially continuous at $x$ , (8)...