On some variants ofcompactness

On some variants ofcompactness

ThreeweakvariantsofcompactnesswereintroducedandstudiedbyKohliandSingh[ActaMath.Hungar.106(2005),317-329].Thesethreepropertiesarereconsideredfromthechangeoftopologyperspec-tive.Inparticular,itisshownthateachofthesepropertiesisequivalenttocompactnesswithrespecttoanothertopologyontheunderlyingset.Someconsequencesofthissituationareinvestigated.

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