Homotopia Intervalar
DOI:
https://doi.org/10.5540/tema.2011.012.02.0145Abstract
Nesse trabalho apresentamos uma formalização do conceito matemático de homotopia mergulhado no ambiente das funções intervalares definidas sobre o conjunto dos intervalos com extremos reais I(R), tanto considerando a Scottcontinuidade quanto a Moore-continuidade. Definimos o que é uma homotopia Scott intervalar, bem como o que é uma homotopia Moore intervalar. Em seguida mostramos que esses dois conceitos coincidem para representações canônicas. Para finalizar, mostramos alguns resultados envolvendo homotopia intervalar e conceitos relacionados, tais como composição de homotopias e retrato por deformação.References
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