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  1. Acta Mathematica Sinica, English Series
  2. Acta Mathematica Sinica, English Series : Volume 29
  3. Acta Mathematica Sinica, English Series : Volume 29, Issue 12, December 2013
  4. Cartesian closed categories of FƵ-domains
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Acta Mathematica Sinica, English Series : Volume 32
Acta Mathematica Sinica, English Series : Volume 31
Acta Mathematica Sinica, English Series : Volume 30
Acta Mathematica Sinica, English Series : Volume 29
Acta Mathematica Sinica, English Series : Volume 29, Issue 12, December 2013
On strong Kadison-Singer algebras
The discontinuous Riemann-Hilbert problem for elliptic complex equations of first order
3-Blocks with Abelian defect groups isomorphic to $Z_{3^m } \times Z_{3^n } $
Sums of primes and quadratic linear recurrence sequences
Difference systems of sets based on cosets partitions
Quantum double constructions for compact quantum group
Bernstein n-widths of Besov embeddings on Lipschitz domains
Minimal and maximal unconditional bases with respect to framings
The nonorientable genus of the join of two cycles
Two-dimensional wave equations with fractal boundaries
Pointwise convergence of wavelets of generalized Shannon type
Schatten p-class Toeplitz operators with unbounded symbols on pluriharmonic Bergman space
More about the kernel convergence and the ideal convergence
Cartesian closed categories of FƵ-domains
Borel equivalence relations between ℓ 1 and ℓ p
The learning rate of l 2-coefficient regularized classification with strong loss
Acta Mathematica Sinica, English Series : Volume 29, Issue 11, November 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 10, October 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 9, September 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 8, August 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 7, July 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 6, June 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 5, May 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 4, April 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 3, March 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 2, February 2013
Acta Mathematica Sinica, English Series : Volume 29, Issue 1, January 2013
Acta Mathematica Sinica, English Series : Volume 28
Acta Mathematica Sinica, English Series : Volume 27
Acta Mathematica Sinica, English Series : Volume 26
Acta Mathematica Sinica, English Series : Volume 25
Acta Mathematica Sinica, English Series : Volume 24
Acta Mathematica Sinica, English Series : Volume 23
Acta Mathematica Sinica, English Series : Volume 22
Acta Mathematica Sinica, English Series : Volume 21
Acta Mathematica Sinica, English Series : Volume 20
Acta Mathematica Sinica, English Series : Volume 19
Acta Mathematica Sinica, English Series : Volume 18
Acta Mathematica Sinica, English Series : Volume 17
Acta Mathematica Sinica, English Series : Volume 16
Acta Mathematica Sinica, English Series : Volume 15
Acta Mathematica Sinica, English Series : Volume 14
Acta Mathematica Sinica, English Series : Volume 13

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Cartesian closed categories of FƵ-domains

Content Provider SpringerLink
Author Liu, Min Zhao, Bin
Copyright Year 2013
Abstract A subset system Z assigns to each partially ordered set P a certain collection Z(P) of subsets. In this paper, a new kind of subset systems called directable subset systems is introduced. For a directable subset system Ƶ, the concepts of FƵ-way-below relation and FƵ-domain are introduced. The well-known Scott topology is naturally generalized to the Ƶ-level and the resulting topology is called FƵ-Scott topology, and the continuous functions with respect to this topology are characterized by preserving the suprema of directed Ƶ-sets. Then, we mainly consider a generalization of the cartesian closedness of the categories DCPO of directed complete posets, BF of bifinite domains and FS of FS-domains to the Ƶ-level. Corresponding to them, it is proved that, for a suitable subset system Ƶ, the categories F Ƶ CPO of Ƶ-complete posets, FSF Ƶ of finitely separated FƵ-domains and BFF Ƶ of bifinite FƵ-domains are all cartesian closed. Some examples of these categories are given.
Ending Page 2390
Page Count 18
Starting Page 2373
File Format PDF
ISSN 14398516
e-ISSN 14397617
Journal Acta Mathematica Sinica, English Series
Issue Number 12
Volume Number 29
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2013-11-15
Publisher Place Berlin/Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword FƵ-Scott topology Partial order, general FƵ-way-below relation Closed categories (closed monoidal and Cartesian closed categories, etc.) FƵ-domain directable subset system Continuous lattices and posets, applications Mathematics Subset system Continuous maps FƵ-Scott continuous function cartesian closed category
Content Type Text
Resource Type Article
Subject Applied Mathematics
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