Comparing Cartesian closed categories of (core) compactly generated spaces
Tài liệu tham khảo
Bauer, 2002, A relationship between equilogical spaces and type two effectivity, Math. Logic Quart., 48, 1, 10.1002/1521-3870(200210)48:1+<1::AID-MALQ11111>3.0.CO;2-7
A. Bauer, L. Birkedal, D.S. Scott, Equilogical spaces, Theoret. Comput. Sci., in press
Borceux, 1994, Categories and structures, vol. 2
R. Brown, Some problems of algebraic topology: A study of function spaces, function complexes and fd-complexes, Ph.D. Thesis, New College, Oxford University, December 1961
Brown, 1964, Function spaces and product topologies, Quart. J. Math. Oxford Ser. (2), 15, 238, 10.1093/qmath/15.1.238
Brown, 1988
Day, 1972, A reflection theorem for closed categories, J. Pure Appl. Algebra, 2, 1, 10.1016/0022-4049(72)90021-7
Day, 1970, On topological quotient maps preserved by pullbacks or products, Proc. Cambridge Philos. Soc., 67, 553, 10.1017/S0305004100045850
Dolecki, 1995, When do the upper Kuratowski topology (homeomorphically, Scott topology) and the co-compact topology coincide?, Trans. Amer. Math. Soc., 347, 2869, 10.1090/S0002-9947-1995-1303118-7
Dugundji, 1966
M.H. Escardó, Topology of data types and computability concepts, Electronic Notes in Theoretical Computer Science, in press
Gale, 1950, Compact sets of functions and function rings, Proc. Amer. Math. Soc., 1, 303, 10.1090/S0002-9939-1950-0036503-X
Gierz, 2003
Hofmann, 1984, On the order-theoretical foundation of a theory of quasicompactly generated spaces without separation axiom, J. Austral. Math. Soc. Ser. A, 36, 194, 10.1017/S1446788700024654
Hyland, 1977, Filter spaces and continuous functionals, Ann. of Math. Logic, 16, 101, 10.1016/0003-4843(79)90006-8
Isbell, 1986, General function spaces, products and continuous lattices, Math. Proc. Cambridge Philos. Soc., 100, 193, 10.1017/S0305004100066020
Kelley, 1955
Mac Lane, 1971
Menni, 2002, Topological and limit-space subcategories of countably-based equilogical spaces, Math. Structures Comput. Sci., 12, 739, 10.1017/S0960129502003699
Michael, 1966, ℵ0-spaces, J. Math. Mech., 15, 983
Normann, 1980, Recursion on the Countable Functionals, vol. 811
M. Schröder, Admissible representations for continuous computations, Ph.D. Thesis, Universität Hagen, 2002
Schwarz, 1983, Powers and exponential objects in initially structured categories and applications to categories of limit spaces, Quaestiones Math., 6, 227, 10.1080/16073606.1983.9632302
Schwarz, 1985, Scott topology, Isbell topology and continuous convergence, vol. 101, 251
Spanier, 1959, Infinite symmetric products, function spaces, and duality, Ann. of Math. (2), 69, 142, 10.2307/1970099
Steenrod, 1967, A convenient category of topological spaces, Michigan Math. J., 14, 133, 10.1307/mmj/1028999711
S. Weingram, Bundles, realizations and k-spaces, Ph.D. Thesis, Princeton University, 1961