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arxiv: 1207.1310 · v1 · pith:OS7PHKCEnew · submitted 2012-07-05 · 🧮 math.GT · math.AT

Thick Spanier groups and the first shape group

classification 🧮 math.GT math.AT
keywords groupshapespacespanierconnecteddetermineddevelopestablish
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We develop a new route through which to explore $\ker\Psi_X$, the kernel of the $\pi_1$-shape group homomorphism determined by a general space $X$, and establish, for each locally path connected, paracompact Hausdorff space $X$, $\ker\Psi_X$ is precisely the Spanier group of $X$.

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