{\displaystyle B_{\Delta }}
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{\displaystyle \sum \varepsilon _{B_{\Delta }}\sigma \vert _{B_{\Delta }}}
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{\displaystyle \sigma :\Delta \rightarrow X}
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{\displaystyle \lambda _{n}:C_{n}(X)\rightarrow C_{n}(X)}
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{\displaystyle n}
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{\displaystyle \Delta ^{n}}
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{\displaystyle \sigma :\Delta ^{n}\rightarrow X}
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{\displaystyle X}
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{\displaystyle \lambda (\Delta )\subset \Delta }
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{\displaystyle {\mathcal {K}}}
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{\displaystyle \Delta }
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{\displaystyle \lambda _{n}:C_{n}({\mathcal {K}})\rightarrow C_{n}({\mathcal {K'}})}
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{\displaystyle {\mathcal {K}}}
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{\displaystyle {\mathcal {K'}}}
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{\displaystyle \operatorname {diam} (\Delta ')\leq \left({\frac {n}{n+1}}\right)\;\operatorname {diam} (\Delta…
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{\displaystyle \Delta }
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{\displaystyle n}
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{\displaystyle \Delta '}
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{\displaystyle \operatorname {diam} (\Delta )=\operatorname {max} {\Bigl \{}\|a-b\|_{\mathbb {R} ^{n}}\;{\Big…
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{\displaystyle \Delta \subset \mathbb {R} ^{n}}
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{\displaystyle n}
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{\displaystyle \Delta }
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{\displaystyle (n+1)!}
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{\displaystyle i\in {0,...,n},\;j\in {1,...,n!}}
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{\displaystyle i,j}
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{\displaystyle \Delta _{i,j}\cup b_{\Delta }}
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{\displaystyle n}
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{\displaystyle \Delta _{i}}
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{\displaystyle \Delta _{i,1},\;\Delta _{i,2}...,\Delta _{i,n!}}
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{\displaystyle n-1}
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