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The following pages link to On Sequential Compactness and Related Notions of Compactness of Metric Spaces in $\mathbf {ZF}$ (Q3187221):

Displaying 24 items.

Total boundedness and the axiom of choice (Q328638) (← links)
Separable connected metric spaces need not have continuum size in $\mathbf{ZF}$ (Q386227) (← links)
On sequentially compact subspaces of $\mathbb R$ without the axiom of choice (Q558740) (← links)
On the relative strength of forms of compactness of metric spaces and their countable productivity in $\mathbf {\text{ZF}}$ (Q714742) (← links)
On Loeb and sequential spaces in \textbf{ZF} (Q776389) (← links)
Countable choice and compactness (Q929991) (← links)
On Weierstrass compact pseudometric spaces and a weak form of the axiom of choice (Q1587990) (← links)
Metric spaces on which continuous functions are ``almost'' uniformly continuous (Q1676541) (← links)
Second-countable compact Hausdorff spaces as remainders in \textbf{ZF} and two new notions of infiniteness (Q2033206) (← links)
Several results on compact metrizable spaces in $\mathbf{ZF} $ (Q2049538) (← links)
$k$-spaces, sequential spaces and related topics in the absence of the axiom of choice (Q2165561) (← links)
Stranger things about the cardinality of compact metric spaces without AC (Q2678398) (← links)
Non-discrete metrics in and some notions of finiteness (Q2827951) (← links)
Some Notions of Separability of Metric Spaces in $\mathbf {ZF}$ and Their Relation to Compactness (Q2957247) (← links)
Finitary sequence spaces (Q4304124) (← links)
Some versions of second countability of metric spaces in ZF and their role to compactness (Q4568249) (← links)
(Q4642660) (← links)
Sequential topological conditions in ℝ in the absence of the axiom of choice (Q4808470) (← links)
On densely complete metric spaces and extensions of uniformly continuous functions in $\mathbf{ZF}$ (Q5131658) (← links)
On sequentially closed subsets of the real line in (Q5179271) (← links)
On the metric reflection of a pseudometric space in ZF (Q5248284) (← links)
Sequential topologies and Dedekind finite sets (Q6094137) (← links)
On iso-dense and scattered spaces without \textbf{AC} (Q6113088) (← links)
On $P$-spaces and $G_{\delta}$-sets in the absence of the axiom of choice (Q6179253) (← links)