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Source coverage notes 26 original proof heading/text diagnostics lack independently established complete proof boundaries; diagnostic occurrences may overlap and are not a count of distinct proofs. Complete original source context · Original author HTML
Theorem 1.7
Let f : X → B f:X\rightarrow B T 3 T^{3} b 0 ∈ Δ g b_{0}\in\Delta_{g} X b 0 X_{b_{0}} I 1 × S 1 I_{1}\times S^{1} S 2 × S 1 S^{2}\times S^{1} H 1 ( X b , 𝐙 ) H_{1}(X_{b},{\bf Z}) b b b 0 b_{0} ( 1 1 0 0 1 0 0 0 1 ) \pmatrix{1&1&0\cr 0&1&0\cr 0&0&1\cr} ( 0 − 1 0 1 1 0 0 0 1 ) \pmatrix{0&-1&0\cr 1&1&0\cr 0&0&1\cr} ( 0 − 1 0 1 3 0 0 0 1 ) \pmatrix{0&-1&0\cr 1&3&0\cr 0&0&1\cr}