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$\mathbb{R}$-paracompact
(a,b)-chain compact
(a,b)-compact
(a,b)^r-chain compact
(a,b)^r-compact
(a,∞)-compact
(i, j)-contably subcompact
(i, j)-countably paracompact
(i, j)-countably subcompact
(i, j)-locally compact in Birsan's sense
(i, j)-locally compact in Raghavan and Reilly's sense
(i, j)-locally compact in Reilly's sense
(i, j)-locally compact in Stoltenberg's sense
(i, j)-locally countably compact in Raghavan and Reilly's sense
(i, j)-locally quasi compact
(i, j)-paracompact
(m,n)-paracompact
(Λ,sθ)-closed
(Λ,sθ)-compact
(α,β)-metacompact
(τ-σ) paracompact with respect to ρ
1 1/2-starcompact
1-countably paracompact
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1-starcompact
1-subparacompact
2-countably compact
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