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Resumen de Contractibility of the digital $n$-space

Sayaka Hamada

  • The aim of this paper is to prove a known fact that the digital line is cotractible. Hence we have that the digital space $({\bf Z}^{n}, \kappa^{n})$ is also cotractible where $({\bf Z}^{n}, \kappa^{n})$ is $n$ products of the digital line $({\bf Z}, \kappa)$.  This is a fundamental property of homotopy theory.


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