Montesinos Amilibia, José María2023-06-202023-06-2020031340-5705https://hdl.handle.net/20.500.14352/58661Dedicated with respect and friendship to Professor Yukio Matsumoto on his 60th birthdayIn this paper, the possibility of embedding a nontrivial string (R3,K) in the trivial knot (S3,U) is investigated. Uncountably many examples are given. The complementary space in S3 of the image of R3 under the embedding is a continuum. Some well-known snake-like continua appear as these residual spaces. The 2-fold coverings of R3 branched over the strings involved are studied. As a consequence, concrete descriptions of the p-adic solenoids are given, and it is shown that the Whitehead continuum is homeomorphic to Bing's snake-like continuum without end points.engjournal articlehttp://journal.ms.u-tokyo.ac.jp/http://journal.ms.u-tokyo.ac.jp/restricted access515.1stringsknots.Topología1210 Topología