@MISC{SUPINF_1.MIZ,
  AUTHOR = {Bia{\l}as, J\'ozef},
  TITLE = {Infimum and Supremum of the Set of Real Numbers.
{M}easure Theory},
  DAY = {27},
  MONTH = {September},
  YEAR = {1990},
  ADDRESS1 = {University of {\L}\'od\'z},
  SUMMARY = {We introduce some properties of the least upper bound and
the greatest lower bound of the subdomain of $\overline{\Bbb R}$ numbers, where $\overline{\Bbb R}$
denotes the enlarged set of real numbers, $\overline{\Bbb R} = {\Bbb R} \cup \{-\infty,+\infty\}$.
The paper contains definitions of majorant and minorant elements, bounded
from above, bounded from below and bounded sets,  sup  and  inf  of set, for
nonempty subset of $\overline{\Bbb R}$. We prove theorems describing the basic
relationships among those definitions. The work is the first part
of the series of articles concerning the Lebesgue measure theory.}}

