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Abstract: Two proofs of the exponentiability of perfect maps are presented and compared to two other recent approaches. One of the proofs is an elementary approach including a direct construction of the exponentials. The other, implicit in the literature, uses internal locales in the topos of set-valued sheaves on a topological space. (Update)
Active bibliography (related documents): More All
2.0: Exponentiable Morphisms: Posets, Spaces, Locales, And.. - Niefield (Correct)
0.6: Change Of Base For Relational Variable Sets - Niefield (2004) (Correct)
0.6: The Convergence Approach to Exponentiable Maps - Clementino, Hofmann, Tholen (2000) (Correct)
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0.5: Topologies on Spaces of Continuous Functions - Escardo, Heckmann (2001) (Correct)
0.4: Exponentiability in Categories of Lax Algebras - Clementino, Hofmann, Tholen (Correct)
0.2: The Regular-Locally-Compact Coreflection of a Stably Locally.. - Escardo (1999) (Correct)
BibTeX entry: (Update)
@misc{ niefield-exponentiability,
author = "Susan Niefield",
title = "Exponentiability Of Perfect Maps: Four Approaches",
url = "citeseer.ist.psu.edu/niefield02exponentiability.html" }
Citations (may not include all citations):126 Cambridge University Press (context) - Johnstone, Spaces - 1982
83 Topos Theory (context) - Johnstone - 1977
32 An Extension of the Galois Theory of Grothendieck (context) - Joyal, Tierney - 1984
9 The spectral theory of distributive continuous lattices (context) - Hofmann, Lawson - 1978
6 Cartesianness: topological spaces (context) - Niefield - 1982
6 On topologies for function spaces (context) - Fox - 1945
6 The convergence approach to exponentiable maps - Clementino, Hofmann et al.
5 partial products and pullback complements (context) - Dyckho, Tholen et al. - 1987
5 The Gleason cover of a topos (context) - Johnstone - 1981
4 Function spaces in the category of locales (context) - Hyland - 1981
3 Separation axioms between T 0 and T (context) - Aull, Thron - 1963
2 General function spaces (context) - Isbell - 1986
2 Rutgers University (context) - Niefield, Ph et al. - 1978
2 On topological quotients preserved by pullback or products (context) - Day, Kelly - 1970
2 Theory and Applications of Categories (context) - Niefield, morphisms et al. - 2001
2 Theory and Applications of Categories (context) - Pisani, exponentiable - 1999
1 Perfect maps are exponentiable -- categorically - Richter, Tholen - 2001
1 Elements of General Topology (context) - Bourbaki - 1966
1 Exponentiability for maps means fibrewise core-compactness (context) - Richter
1 Cartesian spaces over T and locales over (context) - Niefield - 1982
1 Abelain Categories (context) - Freyd - 1964
1 An Elementary approach to exponentiable spaces (context) - Lowen-Colebunders, Richter - 2001
Documents on the same site (http://www.emis.de/journals/TAC/index.html):
Note On A Theorem Of Putnam's - Michael Barr (1997) (Correct)
Isomorphisms Between Left And Right Adjoints - Fausk, Hu, May (2003) (Correct)
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