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- Eilenberg–Mazur_swindle abstract "In mathematics, the Eilenberg–Mazur swindle, named after Samuel Eilenberg and Barry Mazur, is a method of proof that involves paradoxical properties of infinite sums. In geometric topology it was introduced by Mazur (1959, 1961) and is often called the Mazur swindle. In algebra it was introduced by Samuel Eilenberg and is known as the Eilenberg swindle or Eilenberg telescope (see telescoping sum).The Eilenberg–Mazur swindle is similar to the following well known joke "proof" that 1 = 0: 1 = 1 + (−1 + 1) + (−1 + 1) + ... = 1 − 1 + 1 − 1 + ... = (1 − 1) + (1 − 1) + ... = 0This "proof" is not valid as a claim about real numbers because Grandi's series 1 − 1 + 1 − 1 + ... does not converge, but the analogous argument can be used in some contexts where there is some sort of "addition" defined on some objects for which infinite sums do make sense,to show that if A + B = 0 then A = B = 0.".
- Eilenberg–Mazur_swindle wikiPageID "14463498".
- Eilenberg–Mazur_swindle wikiPageRevisionID "582439759".
- Eilenberg–Mazur_swindle authorlink "Barry Mazur".
- Eilenberg–Mazur_swindle last "Mazur".
- Eilenberg–Mazur_swindle txt "yes".
- Eilenberg–Mazur_swindle year "1959".
- Eilenberg–Mazur_swindle year "1961".
- Eilenberg–Mazur_swindle subject Category:Knot_theory.
- Eilenberg–Mazur_swindle subject Category:Module_theory.
- Eilenberg–Mazur_swindle comment "In mathematics, the Eilenberg–Mazur swindle, named after Samuel Eilenberg and Barry Mazur, is a method of proof that involves paradoxical properties of infinite sums. In geometric topology it was introduced by Mazur (1959, 1961) and is often called the Mazur swindle.".
- Eilenberg–Mazur_swindle label "Eilenberg–Mazur swindle".
- Eilenberg–Mazur_swindle sameAs Eilenberg%E2%80%93Mazur_swindle.
- Eilenberg–Mazur_swindle sameAs Q5349491.
- Eilenberg–Mazur_swindle sameAs Q5349491.
- Eilenberg–Mazur_swindle wasDerivedFrom Eilenberg–Mazur_swindle?oldid=582439759.