Study of a Forwarding Chain in the Category of Topological Spaces between T₀ and T₂ with respect to One Point Compactification Operator

Table 2

𝑃	𝑄	Reason of omitting this case
𝐶2⧵𝐶1,𝐶3⧵𝐶2,𝐶4⧵𝐶3,𝐶5⧵𝐶4,𝐶6⧵𝐶5,𝐶7⧵𝐶6	𝐶1	If 𝐴(𝑋) is metrizable, then 𝑋 is metrizable too
𝐶4⧵𝐶3,𝐶5⧵𝐶4,𝐶6⧵𝐶5,𝐶7⧵𝐶6	𝐶2⧵𝐶1,𝐶3⧵𝐶2	If 𝐴(𝑋) is T2, then 𝑋 is T2 too
𝐶5⧵𝐶4,𝐶6⧵𝐶5,𝐶7⧵𝐶6	𝐶4⧵𝐶3	If 𝐴(𝑋) is KC, then 𝑋 is KC too
𝐶6⧵𝐶5,𝐶7⧵𝐶6	𝐶5⧵𝐶4	If 𝐴(𝑋) is SC, then 𝑋 is SC too
𝐶7⧵𝐶6	𝐶6⧵𝐶5	If 𝐴(𝑋) is US, then 𝑋 is US too