Fundamental Group of n-sphere for n ≥ 2

نویسندگان

  • Marco Riccardi
  • Artur Kornilowicz
چکیده

In this paper T , U are non empty topological spaces, t is a point of T , and n is a natural number. Let S be a topological space and let T be a non empty topological space. Note that every function from S into T which is constant is also continuous. The following two propositions are true: (1) L01(0, 1, 0, 1) = id[0, 1]T . (2) For all real numbers r1, r2, r3, r4, r5, r6 such that r1 < r2 and r3 ≤ r4 and r5 < r6 holds L01(r1, r2, r3, r4) · L01(r5, r6, r1, r2) = L01(r5, r6, r3, r4). Let n be a positive natural number. Observe that En T is infinite and every non empty topological space which is n-locally Euclidean is also infinite. The following propositions are true:

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عنوان ژورنال:
  • Formalized Mathematics

دوره 20  شماره 

صفحات  -

تاریخ انتشار 2012