Convenient Categories of Smooth Spaces

C. Ehresmann, Catégories topologiques et catégories differentiables, Coll. Géom. Diff. Globale (Bruxelles, 1958)

1959

Earlier work this paper cites.

R. Brown, Ten topologies for X × Y X\times Y , Quart. J. Math

1963

Earlier work this paper cites.

P. Antoine, Etude élémentaire des catégories d’ensembles structurés, Bull. Soc. Math. Belgique

1966

Earlier work this paper cites.

J. W. Smith, The de Rham theorem for general spaces, Tôhoku Math. J

1966

Earlier work this paper cites.

N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J

Original

1967

Earlier work this paper cites.

K. Jänich, On the classification of O ⁡ ( n ) O(n) -manifolds, Math. Ann

1968

Earlier work this paper cites.

R. Sikorski, Differential modules, Colloq. Math

1971

Earlier work this paper cites.

K.-T. Chen, Iterated integrals of differential forms and loop space homology, Ann. Math

1973

Earlier work this paper cites.

J. Penon, Quasi-topos, C.R. Acad. Sci. Paris, Sér. A

1973

Earlier work this paper cites.

K.-T. Chen, Iterated integrals, fundamental groups and covering spaces, Trans. Amer. Math. Soc

1975

Earlier work this paper cites.

K.-T. Chen, Iterated path integrals, Bull. Amer. Math. Soc

1977

Earlier work this paper cites.

J. Penon, Sur le quasi-topos, Cahiers Top. Géom. Diff

1977

Cited alongside, same era.

E. J. Dubuc, Concrete quasitopoi, Lecture Notes in Math

1979

Cited alongside, same era.

M. Mostow, The differentiable space structures of Milnor classifying spaces, simplicial complexes, and geometric realizations, J. Diff. Geom

1979

Cited alongside, same era.

J. M. Souriau, Groupes differentiels, in Differential Geometrical Methods in Mathematical Physics (Proc. Conf., Aix-en-Provence/Salamanca, 1979)

1980

Cited alongside, same era.

A. Frölicher, Smooth structures, Category Theory (Gummersbach, 1981)

1982

Cited alongside, same era.

R. Goldblatt, Topoi: the Categorial Analysis of Logic

1984

Cited alongside, same era.

A. Kriegl and P. Michor, The Convenient Setting of Global Analysis

1997

Later among the works it cites.

S. Mac Lane, Categories for the Working Mathematician

1998

Later among the works it cites.

P. May, A Concise Course in Algebraic Topology

1999

Later among the works it cites.

G. Laures, On cobordism of manifolds with corners, Trans. Amer. Math. Soc

2000

Later among the works it cites.

M. Grandis, Finite sets and symmetric simplicial sets, Th. Appl. Cat

2001

Later among the works it cites.

P. T. Johnstone, Sketches of an Elephant: A Topos Theory Compendium

2002

Later among the works it cites.