Geodesic
Embeddings of Topological Products of Circularly Chainable Continua
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 715-723

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In a recent paper (5), the author has established the Euclidean spaces of least dimension in which the topological products of finite collections of k-cell-like continua can be embedded. Specifically, it was shown that, for each pair of positive integers k and n, the topological product of any collection of nk-cell-like continua can be embedded in Euclidean space of dimension k(n + 1). This result includes a theorem of Bennett (1) that the topological product of any finite collection of n snakelike continua can be embedded in Euclidean space of dimension n + 1. 
Fearnley, L. Embeddings of Topological Products of Circularly Chainable Continua. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 715-723. doi: 10.4153/CJM-1966-071-x
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