Hilary Priestley
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Mathematics
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Measure Theory
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Mathematics
Hilary Priestley's Degrees
- Masters Mathematics University of Oxford
Why Is Hilary Priestley Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hilary Ann Priestley is a British mathematician. She is a professor at the University of Oxford and a Fellow of St Anne's College, Oxford, where she has been Tutor in Mathematics since 1972. Hilary Priestley introduced ordered separable topological spaces; such topological spaces are now usually called Priestley spaces in her honour. The term "Priestley duality" is also used for her application of these spaces in the representation theory of distributive lattices.
Hilary Priestley's Published Works
Published Works
- An Introduction to Lattices and Order (1989) (5070)
- Representation of Distributive Lattices by means of ordered Stone Spaces (1970) (638)
- Distributive Lattices (2004) (552)
- Introduction to Complex Analysis (1985) (523)
- Ordered Topological Spaces and the Representation of Distributive Lattices (1972) (424)
- Introduction to Lattices and Order, Second Edition (2002) (391)
- Ordered Sets and Duality for Distributive Lattices (1984) (164)
- Introduction to Lattices and Order: Preface to the second edition (2002) (106)
- Introduction to Lattices and Order: Appendix B: further reading (2002) (81)
- THE CONSTRUCTION OF SPACES DUAL TO PSEUDOCOMPLEMENTED DISTRIBUTIVE LATTICES (1975) (58)
- Stone lattices: a topological approach (1974) (47)
- Introduction to Integration (1997) (44)
- A Multipurpose Backtracking Algorithm (1994) (43)
- Canonical extensions and completions of posets and lattices (2008) (41)
- OPTIMAL NATURAL DUALITIES (1993) (32)
- The syntax and semantics of entailment in duality theory (1995) (30)
- Canonical extensions of double quasioperator algebras: An algebraic perspective on duality for certain algebras with binary operations (2007) (30)
- Boolean Topological Distributive Lattices and Canonical Extensions (2007) (27)
- Duality for Double Quasioperator Algebras via their Canonical Extensions (2007) (25)
- A Fresh Perspective on Canonical Extensions for Bounded Lattices (2013) (24)
- Endoprimal distributive lattices are endodualisable (1995) (23)
- NON-CANONICITY OF MV-ALGEBRAS (2002) (23)
- Natural extensions and profinite completions of algebras (2011) (20)
- Ordered Sets and Complete Lattices (2000) (20)
- Intrinsic Spectral Topologies (1994) (20)
- Introduction to Lattices and Order: Ordered sets (2002) (19)
- Optimal natural dualities for varieties of Heyting algebras (1996) (18)
- Representation of distributive lattices (1970) (18)
- Natural Dualities in Partnership (2012) (18)
- Natural dualities for varieties of distributive lattices with a quantifier (1993) (17)
- Optimal natural dualities. II: General theory (1996) (17)
- On Priestley Spaces of Lattice-Ordered Algebraic Structures (1998) (17)
- Varieties of distributive lattices with unary operations I (1997) (17)
- Coproducts of distributive lattice-based algebras (2013) (15)
- Canonical Extensions and Discrete Dualities for Finitely Generated Varieties of Lattice-based Algebras (2012) (13)
- Separation Theorems for Semi-Continuous Functions on Normally Ordered Topological Spaces (1971) (13)
- Canonical Extensions and Profinite Completions of Semilattices and Lattices (2014) (13)
- A general framework for product representations: bilattices and beyond (2015) (12)
- Distributive bilattices from the perspective of natural duality theory (2013) (12)
- Canonical extensions of Stone and double Stone algebras: the natural way (2006) (12)
- Partition-induced natural dualities for varieties of pseudo- complemented distributive lattices (1993) (11)
- Catalytic distributive lattices and compact zero-dimensional topological lattices (1984) (11)
- Product representation for default bilattices: an application of natural duality theory (2013) (10)
- Ordered sets with no infinite antichains (1987) (10)
- A topological approach to canonical extensions in finitely generated varieties of lattice-based algebras (2011) (10)
- De Morgan algebras are universal (1987) (10)
- Gödel algebras: interactive dualities and their applications (2013) (9)
- Dualities for varieties of distributive lattices with unary operations II (1998) (9)
- Piggyback dualities revisited (2015) (8)
- Lattices of homomorphisms (1986) (8)
- Natural dualities for varieties ofn-valued łukasiewicz algebras (1995) (8)
- Equational bases for varieties of Ockham algebras (1994) (8)
- Profinite completions and canonical extensions of semilattice reducts of distributive lattices (2013) (7)
- Endodualisable and endoprimal finite double Stone algebras (1999) (7)
- Kleene algebras are almost universal (1986) (6)
- Sugihara algebras: Admissibility algebras via the test spaces method (2018) (6)
- Infinite antichains in semilattices (1985) (6)
- Optimal Natural Dualities: the Structure of Failsets (2002) (6)
- Checking Admissibility Using Natural Dualities (2018) (5)
- Finitely generated free modular ortholattices. I (1997) (5)
- A criterion for a finite endoprimal algebra to be endodualisable (1999) (5)
- Multisorted dualisability: change of base (2011) (5)
- The determination of subvarieties of certain congruence-distributive varieties (1994) (5)
- GENERALISED PIGGYBACK DUALITIES AND APPLICATIONS (1987) (5)
- Bohr Compactifications of Algebras and Structures (2015) (4)
- A note on equational bases (1995) (4)
- Series-parallel posets and relative Ockham lattices (1994) (3)
- Uniqueness of MV-algebra implication and De Morgan negation (1995) (3)
- A Choquet-Deny theorem for affine functions on a Choquet simplex (1969) (3)
- Natural Dualities Through Product Representations: Bilattices and Beyond (2015) (3)
- Relative Ockham lattices: their order-theoretic and algebraic characterisation (1990) (3)
- Canonical and natural extensions in nitely-generated varieties of lattice-based algebras (2010) (2)
- Introduction to Lattices and Order: Modular, distributive and Boolean lattices (2002) (2)
- Endoprimality without duality (2004) (2)
- Introduction to Lattices and Order: Maximality principles (2002) (2)
- Chapter 2 Ordered Sets and Complete Lattices (2002) (2)
- Distributive bilattices from the perspective of natural duality theory (2015) (1)
- Sugihara algebras and Sugihara monoids: Multisorted dualities (2020) (1)
- Introduction to Lattices and Order: CPOs and fixpoint theorems (2002) (1)
- Introduction to Lattices and Order: Lattices and complete lattices (2002) (1)
- Introduction to Lattices and Order: Formal concept analysis (2002) (1)
- OPTIMAL NATURAL DUALITIES FOR SOME QUASIVARIETIES OF DISTRIBUTIVE DOUBLE p–ALGEBRAS (1999) (1)
- Natural Dualities Through Product Representations: Bilattices and Beyond (2016) (0)
- Canonical Extensions and Profinite Completions of Semilattices and Lattices (2013) (0)
- Introduction to Groups , Rings and Fields HT and TT 2011 (2011) (0)
- Books in review (1984) (0)
- Bohr Compactifications of Algebras and Structures (2016) (0)
- A Fresh Perspective on Canonical Extensions for Bounded Lattices (2012) (0)
- Introduction to Lattices and Order: Appendix A: a topological toolkit (2002) (0)
- Leo Esakia, Heyting Algebras: Duality Theory, Guram Bezhanishvili and Wesley A. Holliday, (eds.), Springer International Publishing, Series: Trends in Logic, Vol. 50, 2019, pp. 95+xv (2021) (0)
- Introduction to Lattices and Order: Domains and information systems (2002) (0)
- Introduction to Lattices and Order: Congruences (2002) (0)
- Piggybacking over unbounded distributive lattices (2020) (0)
- Natural Dualities in Partnership (2011) (0)
- Canonical extensions of Stone algebras : the natural way (2007) (0)
- Sugihara algebras and monoids: multisorted dualities. (2019) (0)
- Canonical extensions of bounded lattices and natural duality for default bilattices (2012) (0)
- Gödel algebras: interactive dualities and their applications (2015) (0)
- A COMPENDIUM OF CONTINUOUS LATTICES (1982) (0)
- G\"odel algebras: interactive dualities and their applications (2013) (0)
- Introduction to Lattices and Order: Representation: the general case (2002) (0)
- Algebraic Lattices as Dual Spaces of Distributive Lattices (2020) (0)
- Rees congruences in lattice-ordered algebras (1994) (0)
- Piggyback dualities revisited (2016) (0)
- Coproducts of distributive lattice-based algebras (2014) (0)
- LATTICES WITH UNIQUE COMPLEMENTS (1992) (0)
- Canonical Extensions and Discrete Dualities for Finitely Generated Varieties of Lattice-based Algebras (2012) (0)
- Endodualisable and endoprimal finite double Stone algebras (1999) (0)
- Representation: the finite case (2002) (0)
- Introduction to Lattices and Order: Complete lattices and Galois connections (2002) (0)
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