De Rham's theorem in a smooth topos
1984 ◽
Vol 96
(1)
◽
pp. 61-71
◽
Keyword(s):
It has been persuasively argued (e.g. by Lawvere[8]) that the mathematical world picture needed to develop the physics of continuous bodies and fields should involve a cartesian closed category of smooth morphisms between smooth spaces. As far as the foundations of the calculus of variations are concerned, the need for such a category was recognized by K. T. Chen(cf. [2]).
2003 ◽
Vol 290
(1)
◽
pp. 189-219
◽
Keyword(s):
1976 ◽
Vol 6
(1)
◽
pp. 65-72
◽
1997 ◽
Vol 7
(5)
◽
pp. 591-618
◽
Keyword(s):
2008 ◽
Vol 18
(3)
◽
pp. 613-643
◽
1983 ◽
Vol 27
(1-2)
◽
pp. 109-119
◽
1996 ◽
Vol 166
(1-2)
◽
pp. 203-219
◽
2019 ◽
Vol 345
◽
pp. 143-168