| anchors | [{"section":"Construction of the Lebesgue measure","snippet":"is a set of the form"},{"type":"math_alttext","value":"{\\displaystyle B=\\prod _{i=1}^{n}[a_{i},b_{i}]\\,,}"},{"type":"math_alttext","value":"{\\displaystyle \\operatorname {vol} (B)=\\prod _{i=1}^{n}(b_{i}-a_{i})\\,.}"},{"type":"math_alttext","value":"{\\displaystyle \\lambda ^{*}(A)=\\inf \\left\\{\\sum _{B\\in {\\mathcal {C}}}\\operatorname {vol} (B):{\\mathcal {C}}{\\text{ is a countable collection of boxes whose union covers }}A\\right\\}.}"},{"type":"math_alttext","value":"{\\displaystyle \\lambda ^{*}(S)=\\lambda ^{*}(S\\cap A)+\\lambda ^{*}(S\\setminus A)\\,.}"}] | — |