{\displaystyle A_{\Delta }^{*2}}
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{\displaystyle A^{\star 2}}
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{\displaystyle A^{\star 2}}
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{\displaystyle \{a_{1},b_{1}\},\{a_{1},b_{2}\},\{a_{2},b_{1}\},\{a_{2},b_{2}\}}
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{\displaystyle A_{\Delta }^{*2}}
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{\displaystyle A=\{\emptyset ,\{a\},\{b\},\{a,b\}\}}
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{\displaystyle \{a_{1},b_{2}\},\{a_{2},b_{1}\}}
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{\displaystyle A_{\Delta }^{*2}}
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{\displaystyle A=\{\emptyset ,\{a\},\{b\}\}}
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{\displaystyle A^{\star 2}=\{\emptyset ,\{a_{1}\},\{a_{2}\},\{a_{1},a_{2}\}\}}
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{\displaystyle A_{\Delta }^{*2}:=\{\emptyset ,\{a_{1}\},\{a_{2}\}\}}
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{\displaystyle A=\{\emptyset ,\{a\}\}}
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{\displaystyle A_{\Delta }^{*2}:=\{a_{1}\sqcup a_{2}:a_{1},a_{2}\in A,a_{1}\cap a_{2}=\emptyset \}}
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{\displaystyle \eta _{\pi }(S^{n-1})=n}
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{\displaystyle S^{n-1}}
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{\displaystyle S^{0}}
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{\displaystyle S^{2}}
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{\displaystyle S^{0}}
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{\displaystyle \eta _{\pi }(A*B)=2}
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{\displaystyle A*B}
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{\displaystyle \eta _{\pi }(A)=\eta _{\pi }(B)=1}
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{\displaystyle A=B=S^{0}}
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{\displaystyle \eta _{\pi }(A*B)\geq \eta _{\pi }(A)+\eta _{\pi }(B)}
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{\displaystyle \eta _{\pi }}
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{\displaystyle A,B}
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{\displaystyle {\widetilde {H}}_{n}(A\star B)\cong H_{n-1}(A\wedge B)\ {\bigl (}=H_{n-1}(A\times B/A\vee B){\b…
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{\displaystyle A\star B\simeq \Sigma (A\wedge B).}
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{\displaystyle {A\star \{b_{0}\}\cup \{a_{0}\}\star B}}
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{\displaystyle \Sigma (A\wedge B)}
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{\displaystyle {\frac {A\star B}{A\star \{b_{0}\}\cup \{a_{0}\}\star B}}}
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