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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 wikiPageExternalLink 1255637479.
- Eilenberg–Mazur_swindle wikiPageExternalLink what-is-poenaru-web.pdf.
- Eilenberg–Mazur_swindle wikiPageExternalLink mazurs-swindle.
- Eilenberg–Mazur_swindle wikiPageID "14463498".
- Eilenberg–Mazur_swindle wikiPageLength "8313".
- Eilenberg–Mazur_swindle wikiPageOutDegree "20".
- Eilenberg–Mazur_swindle wikiPageRevisionID "669162512".
- Eilenberg–Mazur_swindle wikiPageWikiLink Barry_Mazur.
- Eilenberg–Mazur_swindle wikiPageWikiLink Cantor–Bernstein–Schroeder_theorem.
- Eilenberg–Mazur_swindle wikiPageWikiLink Category:Knot_theory.
- Eilenberg–Mazur_swindle wikiPageWikiLink Category:Module_theory.
- Eilenberg–Mazur_swindle wikiPageWikiLink Connected_sum.
- Eilenberg–Mazur_swindle wikiPageWikiLink Exotic_sphere.
- Eilenberg–Mazur_swindle wikiPageWikiLink Free_module.
- Eilenberg–Mazur_swindle wikiPageWikiLink Geometric_topology.
- Eilenberg–Mazur_swindle wikiPageWikiLink Grandis_series.
- Eilenberg–Mazur_swindle wikiPageWikiLink Knot_(mathematics).
- Eilenberg–Mazur_swindle wikiPageWikiLink Knot_sum.
- Eilenberg–Mazur_swindle wikiPageWikiLink Mathematics.
- Eilenberg–Mazur_swindle wikiPageWikiLink Module_(mathematics).
- Eilenberg–Mazur_swindle wikiPageWikiLink Projective_module.
- Eilenberg–Mazur_swindle wikiPageWikiLink Ring_(mathematics).
- Eilenberg–Mazur_swindle wikiPageWikiLink Samuel_Eilenberg.
- Eilenberg–Mazur_swindle wikiPageWikiLink Schröder–Bernstein_theorem.
- Eilenberg–Mazur_swindle wikiPageWikiLink Tame_knot.
- Eilenberg–Mazur_swindle wikiPageWikiLink Telescoping_series.
- Eilenberg–Mazur_swindle wikiPageWikiLink Telescoping_sum.
- Eilenberg–Mazur_swindle wikiPageWikiLink Trivial_knot.
- Eilenberg–Mazur_swindle wikiPageWikiLink Unknot.
- Eilenberg–Mazur_swindle wikiPageWikiLink Wild_knot.
- Eilenberg–Mazur_swindle wikiPageWikiLinkText "Eilenberg–Mazur swindle".
- Eilenberg–Mazur_swindle wikiPageWikiLinkText "Eilenberg–Mazur swindle".
- Eilenberg–Mazur_swindle authorlink "Barry Mazur".
- Eilenberg–Mazur_swindle hasPhotoCollection Eilenberg–Mazur_swindle.
- Eilenberg–Mazur_swindle last "Mazur".
- Eilenberg–Mazur_swindle txt "yes".
- Eilenberg–Mazur_swindle wikiPageUsesTemplate Template:Citation.
- Eilenberg–Mazur_swindle wikiPageUsesTemplate Template:Harv.
- Eilenberg–Mazur_swindle wikiPageUsesTemplate Template:Harvs.
- 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 m.03d4bhc.
- Eilenberg–Mazur_swindle sameAs Q5349491.
- Eilenberg–Mazur_swindle sameAs Q5349491.
- Eilenberg–Mazur_swindle wasDerivedFrom Eilenberg–Mazur_swindle?oldid=669162512.
- Eilenberg–Mazur_swindle isPrimaryTopicOf Eilenberg–Mazur_swindle.