I know one of LaTeX\'s bragging points is that it doesn\'t have this Microsoftish behavior. Nevertheless, it\'s sometimes useful.
LaTeX already adds an extra space after
The following code solves the problem.
\let\period.
\catcode`\.\active
\def\uppercasesingleletter#1{\uppercase{#1}}
\def.{\period\afterassignment\periodx\let\next= }
\def \periodx{\ifcat\space\next \next\expandafter\uppercasesingleletter \else\expandafter\next\fi}
First. second.third. relax.relax. up
\let\period. save period
\catcode\.\active make all periods to be active symbol (like macro).
\def\uppercasesingleletter#1{\uppercase{#1}} defines macro \uppercasesingleletter to make automatically capitalize the following letter.
\def.{\period\afterassignment\periodx\let\next= } writes saved period and checkes the next symbol.
\def \periodx{\ifcat\space\next \next\expandafter\uppercasesingleletter \else\expandafter\next\fi} If the next letter is a space then \uppercasesingleletter is inserted.