Some Nature of Iocally Countable Compact and Iocally Paracompact Space

We give some concepts of different locally countable compact space and locally countable paracompact space,discuss their natures,and give some results as every closed subset in countable paracompact space is countable paracompact )If topological space is a neighborhood open locally countable paracompact space, is any open set of,then is a neighborhood open locally countable paracompact subspace.