From Cambridge English Corpus The floor of the workshop is compacted soil and is visibly stained with oils and fuels.Fréchet, Maurice (1906 "Sur quelques points du calcul fonctionnel Rendiconti del Circolo Matematico di Palermo, 22 (1 172, doi :.1007/BF03018603.For example, an open real interval X (0, 1) is not compact because its hyperreal extension 0,1) contains infinitesimals, which are infinitely close to 0, which is not a point.

The product of any collection of compact spaces is compact.Compact 2 kom-pakt noun a formal agreement between two or more parties, states, etc.; contract: the proposed economic compact between Germany and France.

The structure space of a commutative unital Banach algebra is a compact Hausdorff space.The HeineBorel theorem, as the result is now known, is another special property possessed by closed and bounded sets of real numbers.