Duality (mathematics) (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Duality (mathematics)" in English language version.

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12ams.org

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Artstein-Avidan & Milman 2007 Artstein-Avidan, Shiri; Milman, Vitali (2007), "A characterization of the concept of duality", Electronic Research Announcements in Mathematical Sciences, 14: 42–59, archived from the original on 2011-07-24, retrieved 2009-05-30. Also author's site.

ams.org

mathscinet.ams.org

Veblen & Young 1965. Veblen, Oswald; Young, John Wesley (1965), Projective geometry. Vols. 1, 2, Blaisdell Publishing Co. Ginn and Co., MR 0179666
(Veblen & Young 1965, Ch. I, Theorem 11) Veblen, Oswald; Young, John Wesley (1965), Projective geometry. Vols. 1, 2, Blaisdell Publishing Co. Ginn and Co., MR 0179666
(Lam 1999, §19C) Lam, Tsit-Yuen (1999), Lectures on modules and rings, Graduate Texts in Mathematics, vol. 189, Springer-Verlag, ISBN 978-0-387-98428-5, MR 1653294
Weibel (1994) Weibel, Charles A. (1994), An introduction to homological algebra, Cambridge University Press, ISBN 978-0-521-55987-4, MR 1269324
Dwyer and Spaliński (1995) Dwyer, William G.; Spaliński, Jan (1995), "Homotopy theories and model categories", Handbook of algebraic topology, Amsterdam: North-Holland, pp. 73–126, MR 1361887, archived from the original on 2021-02-09, retrieved 2009-03-11
Negrepontis 1971. Negrepontis, Joan W. (1971), "Duality in analysis from the point of view of triples", Journal of Algebra, 19 (2): 228–253, doi:10.1016/0021-8693(71)90105-0, ISSN 0021-8693, MR 0280571
Joyal and Street (1991) Joyal, André; Street, Ross (1991), "An introduction to Tannaka duality and quantum groups" (PDF), Category theory, Lecture Notes in Mathematics, vol. 1488, Springer-Verlag, pp. 413–492, doi:10.1007/BFb0084235, ISBN 978-3-540-46435-8, MR 1173027
See (Lang 2002, Theorem VI.1.1) for finite Galois extensions. Lang, Serge (2002), Algebra, Graduate Texts in Mathematics, vol. 211, Springer-Verlag, ISBN 978-0-387-95385-4, MR 1878556
Griffiths & Harris 1994, p. 56 Griffiths, Phillip; Harris, Joseph (1994), Principles of algebraic geometry, Wiley Classics Library, New York: John Wiley & Sons, ISBN 978-0-471-05059-9, MR 1288523
Iversen 1986, Ch. VII.3, VII.5 Iversen, Birger (1986), Cohomology of sheaves, Universitext, Springer-Verlag, ISBN 978-3-540-16389-3, MR 0842190
Milne (2006, Example I.1.10) Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462
Mazur (1973); Milne (2006) Mazur, Barry (1973), "Notes on étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure, Série 4, 6 (4): 521–552, doi:10.24033/asens.1257, ISSN 0012-9593, MR 0344254 Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462

archive.org

Milne 1980, Ch. VI.11 Milne, James S. (1980), Étale cohomology, Princeton University Press, ISBN 978-0-691-08238-7

books.google.com

Jiří Adámek; J. Rosicky (1994). Locally Presentable and Accessible Categories. Cambridge University Press. p. 62. ISBN 978-0-521-42261-1.

doi.org

Artstein-Avidan & Milman 2008 Artstein-Avidan, Shiri; Milman, Vitali (2008), "The concept of duality for measure projections of convex bodies", Journal of Functional Analysis, 254 (10): 2648–66, CiteSeerX 10.1.1.417.3470, doi:10.1016/j.jfa.2007.11.008. Also author's site.
Negrepontis 1971. Negrepontis, Joan W. (1971), "Duality in analysis from the point of view of triples", Journal of Algebra, 19 (2): 228–253, doi:10.1016/0021-8693(71)90105-0, ISSN 0021-8693, MR 0280571
Joyal and Street (1991) Joyal, André; Street, Ross (1991), "An introduction to Tannaka duality and quantum groups" (PDF), Category theory, Lecture Notes in Mathematics, vol. 1488, Springer-Verlag, pp. 413–492, doi:10.1007/BFb0084235, ISBN 978-3-540-46435-8, MR 1173027
Mazur (1973); Milne (2006) Mazur, Barry (1973), "Notes on étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure, Série 4, 6 (4): 521–552, doi:10.24033/asens.1257, ISSN 0012-9593, MR 0344254 Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462

encyclopediaofmath.org

Kostrikin 2001, This quote is the first sentence of the final section named comments in this single-paged-document Kostrikin, A. I. (2001) [1994], "Duality", Encyclopedia of Mathematics, EMS Press.

handle.net

hdl.handle.net

(Loomis 1953, p. 151, section 37D) Loomis, Lynn H. (1953), An introduction to abstract harmonic analysis, D. Van Nostrand, pp. x+190, hdl:2027/uc1.b4250788

jmilne.org

Milne (2006, Example I.1.10) Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462
Mazur (1973); Milne (2006) Mazur, Barry (1973), "Notes on étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure, Série 4, 6 (4): 521–552, doi:10.24033/asens.1257, ISSN 0012-9593, MR 0344254 Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462

mq.edu.au

maths.mq.edu.au

Joyal and Street (1991) Joyal, André; Street, Ross (1991), "An introduction to Tannaka duality and quantum groups" (PDF), Category theory, Lecture Notes in Mathematics, vol. 1488, Springer-Verlag, pp. 413–492, doi:10.1007/BFb0084235, ISBN 978-3-540-46435-8, MR 1173027

psu.edu

citeseerx.ist.psu.edu

Artstein-Avidan & Milman 2008 Artstein-Avidan, Shiri; Milman, Vitali (2008), "The concept of duality for measure projections of convex bodies", Journal of Functional Analysis, 254 (10): 2648–66, CiteSeerX 10.1.1.417.3470, doi:10.1016/j.jfa.2007.11.008. Also author's site.

purdue.edu

hopf.math.purdue.edu

Dwyer and Spaliński (1995) Dwyer, William G.; Spaliński, Jan (1995), "Homotopy theories and model categories", Handbook of algebraic topology, Amsterdam: North-Holland, pp. 73–126, MR 1361887, archived from the original on 2021-02-09, retrieved 2009-03-11

tau.ac.il

math.tau.ac.il

Artstein-Avidan & Milman 2007 Artstein-Avidan, Shiri; Milman, Vitali (2007), "A characterization of the concept of duality", Electronic Research Announcements in Mathematical Sciences, 14: 42–59, archived from the original on 2011-07-24, retrieved 2009-05-30. Also author's site.
Artstein-Avidan & Milman 2008 Artstein-Avidan, Shiri; Milman, Vitali (2008), "The concept of duality for measure projections of convex bodies", Journal of Functional Analysis, 254 (10): 2648–66, CiteSeerX 10.1.1.417.3470, doi:10.1016/j.jfa.2007.11.008. Also author's site.

upc.edu

fme.upc.edu

Atiyah 2007, p. 1 Atiyah, Michael (2007). "Duality in Mathematics and Physics lecture notes from the Institut de Matematica de la Universitat de Barcelona (IMUB)" (PDF).
Atiyah 2007, p. 1 Atiyah, Michael (2007). "Duality in Mathematics and Physics lecture notes from the Institut de Matematica de la Universitat de Barcelona (IMUB)" (PDF).

web.archive.org

Artstein-Avidan & Milman 2007 Artstein-Avidan, Shiri; Milman, Vitali (2007), "A characterization of the concept of duality", Electronic Research Announcements in Mathematical Sciences, 14: 42–59, archived from the original on 2011-07-24, retrieved 2009-05-30. Also author's site.
Dwyer and Spaliński (1995) Dwyer, William G.; Spaliński, Jan (1995), "Homotopy theories and model categories", Handbook of algebraic topology, Amsterdam: North-Holland, pp. 73–126, MR 1361887, archived from the original on 2021-02-09, retrieved 2009-03-11

worldcat.org

search.worldcat.org

Negrepontis 1971. Negrepontis, Joan W. (1971), "Duality in analysis from the point of view of triples", Journal of Algebra, 19 (2): 228–253, doi:10.1016/0021-8693(71)90105-0, ISSN 0021-8693, MR 0280571
Mazur (1973); Milne (2006) Mazur, Barry (1973), "Notes on étale cohomology of number fields", Annales Scientifiques de l'École Normale Supérieure, Série 4, 6 (4): 521–552, doi:10.24033/asens.1257, ISSN 0012-9593, MR 0344254 Milne, James S. (2006), Arithmetic duality theorems (2nd ed.), Charleston, South Carolina: BookSurge, LLC, ISBN 978-1-4196-4274-6, MR 2261462