Espaço compacto: diferenças entre revisões
Conteúdo apagado Conteúdo adicionado
Linha 107:
* {{Citation | last1=Munkres | first1=James R. | author1-link=James R. Munkres | title=Topology | publisher=[[Prentice Hall, Incorporated]] | location= | isbn=9780131816299 | year=2000}}.
*{{citation |last1=Alexandrov |first1=Pavel |authorlink1=Pavel Alexandrov |last2=Urysohn |first2=Pavel |authorlink2=Pavel Urysohn |title=Mémoire sur les espaces topologiques compacts |journal=Koninklijke Nederlandse Akademie van Wetenschappen te Amsterdam, Proceedings of the section of mathematical sciences |volume=14 |year=1929}}.
*{{citation |last1=Arkhangel'skii |first1=A.V. |last2=Fedorchuk |first2=V.V. |contribution=The basic concepts and constructions of general topology |editor1=Arkhangel'skii, A.V. |editor2=Pontrjagin, L.S. |title=General topology I |publisher=Springer |year=1990 |isbn=978-0-387-18178-3 |series=Encyclopedia of the Mathematical Sciences |volume=17}}.
*{{springer|id=C/c023530|title=Compact space|first=A.V.|last=Arkhangel'skii}}.
*{{citation |first=Bernard |last=Bolzano |authorlink=Bernard Bolzano |title=Rein analytischer Beweis des Lehrsatzes, dass zwischen je zwey Werthen, die ein entgegengesetzes Resultat gewähren, wenigstens eine reele Wurzel der Gleichung liege |year=1817 |url=http://books.google.com/?id=EoW4AAAAIAAJ&dq=%22Rein%20analytischer%20Beweis%20des%20Lehrsatzes%22&pg=PA2-IA3#v=onepage&q= |publisher=Wilhelm Engelmann}} (''Purely analytic proof of the theorem that between any two values which give results of opposite sign, there lies at least one real root of the equation'').
*{{citation |last=Borel |first=Émile |authorlink=Émile Borel |title=Sur quelques points de la théorie des fonctions |journal=[[Annales Scientifiques de l'École Normale Supérieure]]|series= 3 |volume=12 |year=1895 |pages=9–55 |url=http://www.numdam.org/numdam-bin/item?id=ASENS_1895_3_12__9_0 |jfm=26.0429.03 }}
*{{Citation | last1=Boyer | first1=Carl B. | author1-link=Carl Benjamin Boyer | title=The history of the calculus and its conceptual development | publisher=[[Dover Publications]] | location=New York | mr=0124178 | year=1959}}.
* {{citation |first=Cesare |last=Arzelà |authorlink=Cesare Arzelà |title=Sulle funzioni di linee |journal=Mem. Accad. Sci. Ist. Bologna Cl. Sci. Fis. Mat. |volume=5 |issue=5 |pages=55–74 |year=1895}}.
* {{citation |first=Cesare |last=Arzelà |authorlink=Cesare Arzelà |title=Un'osservazione intorno alle serie di funzioni |journal=Rend. Dell' Accad. R. Delle Sci. Dell'Istituto di Bologna |pages=142–159 |year=1882–1883}}.
* {{citation |first=G. |last=Ascoli |authorlink=Giulio Ascoli |title=Le curve limiti di una varietà data di curve |journal=Atti della R. Accad. Dei Lincei Memorie della Cl. Sci. Fis. Mat. Nat. |volume=18 |issue=3 |pages=521–586 |year=1883–1884}}.
*{{citation | first=Maurice |last=Fréchet |authorlink=Maurice Fréchet |title=Sur quelques points du calcul fonctionnel |year=1906 |journal= [[Rendiconti del Circolo Matematico di Palermo]] |volume=22 |doi=10.1007/BF03018603 |pages=1–72 |issue=1}}.
*{{citation | last1=Gillman|first1=Leonard|last2=Jerison|first2=Meyer|title=Rings of continuous functions|publisher=Springer-Verlag|year=1976}}.
*{{citation | last=Kelley |first=John |title=General topology |publisher=Springer-Verlag |year=1955 |series=Graduate Texts in Mathematics |volume=27}}.
*{{Citation | last1=Kline | first1=Morris | author1-link=Morris Kline | title=Mathematical thought from ancient to modern times | year=1972 | publisher=[[Oxford University Press]] | edition=3rd | isbn=978-0-19-506136-9 | publication-date=1990}}.
*{{citation |first=Henri |last=Lebesgue |title=Leçons sur l'intégration et la recherche des fonctions primitives |url=http://books.google.com/?id=VfUKAAAAYAAJ&dq=%22Lebesgue%22%20%22Le%C3%A7ons%20sur%20l'int%C3%A9gration%20et%20la%20recherche%20des%20fonctions%20...%22&pg=PA1#v=onepage&q= |year=1904 |publisher=Gauthier-Villars}}.
*{{Citation | last1=Robinson | first1=Abraham | author1-link=Abraham Robinson | title=Non-standard analysis | publisher=[[Princeton University Press]] | isbn=978-0-691-04490-3 | id={{MathSciNet | id = 0205854}} | year=1996}}.
*{{citation |first=C.T. |last= Scarborough |first2= A.H. |last2= Stone |title= Products of nearly compact spaces |journal= Transactions of the American Mathematical Society |volume= 124 |year=1966 |pages= 131–147 |doi=10.2307/1994440 |issue=1 |publisher=Transactions of the American Mathematical Society, Vol. 124, No. 1 |jstor=1994440}}.
* {{Citation | last1=Steen | first1=Lynn Arthur | author1-link=Lynn Arthur Steen | last2=Seebach | first2=J. Arthur Jr. | author2-link=J. Arthur Seebach, Jr. | title=[[Counterexamples in Topology]] | origyear=1978 | publisher=[[Springer-Verlag]] | location=Berlin, New York | edition=[[Dover Publications|Dover]] reprint of 1978 | isbn=978-0-486-68735-3 | mr=507446 | year=1995}}
==External links==
* {{planetmathref|id=1233|title=Countably compact}}
* {{cite arXiv |last=Sundström |first=Manya Raman | eprint=1006.4131 |title=A pedagogical history of compactness |class=math.HO |year=2010 |version=v1}}
{{esboço-matemática}}
| |||