Details
Original language | English |
---|---|
Pages (from-to) | 125-158 |
Number of pages | 34 |
Journal | Topology and its applications |
Volume | 137 |
Issue number | 1-3 |
Publication status | Published - 28 Feb 2004 |
Abstract
The classical Stone duality and many of its extensions and modifications are shown to be special instances of one general construction, involving so-called invariant point selections or subset selections as parameters. This approach provides a whole bunch of "symmetric dualities" between certain classes of spaces and/or lattices.
Keywords
- Adjoint, Base, Closure, Complete lattice, Context, Duality, Galois adjunction, Invariant, Join-dense, Meet-dense, Point selection, Sober, Subset selection
ASJC Scopus subject areas
- Mathematics(all)
- Geometry and Topology
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In: Topology and its applications, Vol. 137, No. 1-3, 28.02.2004, p. 125-158.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - General Stone duality
AU - Erné, Marcel
PY - 2004/2/28
Y1 - 2004/2/28
N2 - The classical Stone duality and many of its extensions and modifications are shown to be special instances of one general construction, involving so-called invariant point selections or subset selections as parameters. This approach provides a whole bunch of "symmetric dualities" between certain classes of spaces and/or lattices.
AB - The classical Stone duality and many of its extensions and modifications are shown to be special instances of one general construction, involving so-called invariant point selections or subset selections as parameters. This approach provides a whole bunch of "symmetric dualities" between certain classes of spaces and/or lattices.
KW - Adjoint
KW - Base
KW - Closure
KW - Complete lattice
KW - Context
KW - Duality
KW - Galois adjunction
KW - Invariant
KW - Join-dense
KW - Meet-dense
KW - Point selection
KW - Sober
KW - Subset selection
UR - http://www.scopus.com/inward/record.url?scp=0842346883&partnerID=8YFLogxK
U2 - 10.1016/S0166-8641(03)00204-9
DO - 10.1016/S0166-8641(03)00204-9
M3 - Article
AN - SCOPUS:0842346883
VL - 137
SP - 125
EP - 158
JO - Topology and its applications
JF - Topology and its applications
SN - 0166-8641
IS - 1-3
ER -