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Hilbert's fifth problem
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== References == {{refbegin}} * {{cite journal | last = Morikuni | first = Goto | title = Hidehiko Yamabe (1923–1960) | journal = Osaka Mathematical Journal | volume = 13 | issue = 1 | pages = i–ii | year = 1961 | url = http://projecteuclid.org/euclid.ojm/1200690171 | mr = 0126362 | zbl = 0095.00505 }} * {{cite book | last = Rosinger | first = Elemér E. | title = Parametric Lie Group Actions on Global Generalised Solutions of Nonliear PDE. Including a solution to Hilbert's Fifth Problem | place = Doerdrecht–Boston–London | publisher = [[Kluwer Academic Publishers]] | series = Mathematics and Its Applications | volume = 452 | year = 1998 | pages = xvii+234 | url = https://books.google.com/books?id=xqaRjdjkxvUC | isbn = 0-7923-5232-7 | mr = 1658516 | zbl = 0934.35003 }} * {{cite book | last=Tao|first= Terence |authorlink = Terence Tao|title=Hilbert's fifth problem and related topics | zbl=1298.22001 |series=Graduate Studies in Mathematics |number=153 | publisher=American Mathematical Society | isbn=978-1-4704-1564-8 | pages=xiii+338 | year=2014}} * {{cite book| last1=Montgomery| first1=Deane |first2= Leo|last2= Zippin |title=Topological Transformation Groups | series=Interscience Tracts in Pure and Applied Mathematics | number=1 | publisher=Interscience Publishers | pages=281 | year=1955}} * Yamabe, Hidehiko, ''On an arcwise connected subgroup of a Lie group'', Osaka Mathematical Journal v.2, no. 1 Mar. (1950), 13–14. * [[Irving Kaplansky]], ''Lie Algebras and Locally Compact Groups'', Chicago Lectures in Mathematics, 1971. * {{cite book | last1=Benyamini |first1= Yoav |first2=Joram |last2=Lindenstrauss| author-link2=Joram Lindenstrauss |title=Geometric nonlinear functional analysis | series= Colloquium publications |number= 48 |publisher= American Mathematical Society | year=2000}} * [[Per Enflo|Enflo, Per]]. (1970) [[Per Enflo#Hilbert's fifth problem and embeddings|Investigations on Hilbert’s fifth problem for non locally compact groups]]. (Ph.D. thesis of five articles of [[Per Enflo|Enflo]] from 1969 to 1970) ** Enflo, Per; 1969a: Topological groups in which multiplication on one side is differentiable or linear. ''[[Math. Scand.]],'' 24, 195–197. <!-- **Enflo, Per; 1969: On the non-existence of uniform homeomorphisms between Lp-spaces. ''[[Arkiv för Matematik|Ark. Mat.]]'' '''8''', 103–105. --> ** {{cite journal |doi=10.1007/BF02589549 |author=Per Enflo |title=On the nonexistence of uniform homeomorphisms between L<sub>p</sub> spaces |journal=[[Arkiv för Matematik|Ark. Mat.]] |volume=8 |year=1969 |pages=103–105 |issue=2 |doi-access=free }} ** Enflo, Per; 1969b: On a problem of Smirnov. ''Ark. Mat.'' '''8''', 107–109. ** {{cite journal|doi=10.1007/BF02771560|doi-access=|title=Uniform structures and square roots in topological groups|journal=[[Israel Journal of Mathematics]]|volume=8|issue=3|pages=230–252|year=1970|last1=Enflo|first1=P.|s2cid=189773170}} ** {{cite journal|doi=10.1007/BF02771561|doi-access=|title=Uniform structures and square roots in topological groups|journal=[[Israel Journal of Mathematics]]|volume=8|issue=3|pages=253–272|year=1970|last1=Enflo|first1=P.|s2cid=121193430}} <!-- *** Enflo, Per. 1976. Uniform homeomorphisms between Banach spaces. ''Séminaire Maurey-Schwartz (1975–1976), Espaces, {{math|''L''<sup>''p''</sup>}}, applications radonifiantes et géométrie des espaces de Banach'', Exp. No. 18, 7 pp. Centre Math., École Polytech., Palaiseau. ''MR''0477709 (57 #17222) --> {{refend}} {{Hilbert's problems}} {{Authority control}} [[Category:Hilbert's problems|#05]] [[Category:Lie groups]] [[Category:Differential structures]]
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