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Cantor function
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==References== * {{cite book|first1=Richard Franklin|last1=Bass|author1-link=Richard F. Bass|title=Real analysis for graduate students|year=2013|orig-year=2011|edition=Second|publisher=Createspace Independent Publishing|isbn=978-1-4818-6914-0}} *{{cite journal | last=Cantor | first=G. | title=De la puissance des ensembles parfaits de points: Extrait d'une lettre adressée à l'éditeur | journal=Acta Mathematica | publisher=International Press of Boston | volume=4 | year=1884 | issn=0001-5962 | doi=10.1007/bf02418423 | pages=381–392 |trans-title=The power of perfect sets of points: Extract from a letter addressed to the editor| doi-access=free }} Reprinted in: E. Zermelo (Ed.), Gesammelte Abhandlungen Mathematischen und Philosophischen Inhalts, Springer, New York, 1980. *{{citation|mr=2681574 |last1=Darst|first1= Richard B.|last2= Palagallo|first2= Judith A.|last3= Price|first3= Thomas E. |title=Curious curves|publisher= World Scientific Publishing Co. Pte. Ltd.|place= Hackensack, NJ |year=2010|isbn= 978-981-4291-28-6}} *{{cite journal | last1=Dovgoshey | first1=O. | last2=Martio | first2=O. | last3=Ryazanov | first3=V. | last4=Vuorinen | first4=M. | title=The Cantor function | journal=Expositiones Mathematicae | publisher=Elsevier BV | volume=24 | issue=1 | year=2006 | issn=0723-0869 | doi=10.1016/j.exmath.2005.05.002 | pages=1–37 | mr=2195181 | doi-access= }} *{{cite journal | last=Fleron | first=Julian F. | title=A Note on the History of the Cantor Set and Cantor Function | journal=Mathematics Magazine | publisher=Informa UK Limited | volume=67 | issue=2 | pages=136–140 | date=1994-04-01 | issn=0025-570X | doi=10.2307/2690689 |jstor=2690689}} *{{citation|first=H.|last= Lebesgue |title=Leçons sur l'intégration et la recherche des fonctions primitives|place= Paris|publisher= Gauthier-Villars|year= 1904 |trans-title=Lessons on integration and search for primitive functions}} *{{cite book | last=Leoni | first=Giovanni | title=A first course in Sobolev spaces | publisher=American Mathematical Society | location=Providence, Rhode Island | year=2017 | isbn=978-1-4704-2921-8 | oclc=976406106 | page=734 |edition=2nd |url=http://bookstore.ams.org/gsm-181/ |volume=181}} *{{cite journal | last=Scheeffer | first=Ludwig | title=Allgemeine Untersuchungen über Rectification der Curven | journal=Acta Mathematica | publisher=International Press of Boston | volume=5 | year=1884 | issn=0001-5962 | doi=10.1007/bf02421552 | pages=49–82 |trans-title=General investigations on rectification of the curves| doi-access=free }} * {{cite book|last1=Thomson|first1=Brian S.|last2=Bruckner|first2=Judith B.|last3=Bruckner|first3=Andrew M.|title=Elementary real analysis|publisher=ClassicalRealAnalysis.com|edition=Second|year=2008|orig-year=2001|isbn=978-1-4348-4367-8}} *{{cite book|title=The theory of measures and integration|last=Vestrup|first=E.M.|series=Wiley series in probability and statistics|publisher=John Wiley & sons|year=2003|isbn=978-0471249771}} *{{citation|first=A.|last= Vitali|title=Sulle funzioni integrali|journal=Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur.|volume= 40 |year=1905 |pages= 1021–1034 |trans-title=On the integral functions}}
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