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Keywords:
compact space; KC space; SC space; minimal KC space; minimal SC space; KC-closed space; SC-closed space; sequentially compact space; finite derived set property; wD property
compact space; KC space; SC space; minimal KC space; minimal SC space; KC-closed space; SC-closed space; sequentially compact space; finite derived set property; wD property
Summary:
A topological space is KC when every compact set is closed and SC when every convergent sequence together with its limit is closed. We present a complete description of KC-closed, SC-closed and SC minimal spaces. We also discuss the behaviour of the finite derived set property in these classes.
References:
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