Specification of topological spaces by algebraic systems of continuous functions
From MaRDI portal
Publication:684548
DOI10.1007/BF01098255zbMath0778.54006MaRDI QIDQ684548
Publication date: 21 September 1993
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Algebraic properties of function spaces in general topology (54C40) Lattices of continuous, differentiable or analytic functions (46E05) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Topological representations of algebraic systems (54H10)
Related Items
Determinability of Hewitt spaces by the lattices of subalgebras with unit of semifields of continuous positive functions with MAX-plus, Definability of semifields of continuous positive functions by the lattices of their subalgebras, Isomorphisms of semirings of continuous binary relations on topological spaces, Semigroups of relatively continuous binary relations and their isomorphisms, On semigroups of continuous transformations of fuzzily structured sets
Cites Work
- A theorem of Nagata on lattices of semicontinuous functions
- An algebraic characterization of fixed ideals in certain function rings
- The automorphism group of certain function rings
- An embedding theorem for semigroups of continuous selfmaps
- Projectivity of pure ideals
- Boolean rings
- Compactness is not preserved by the t-equivalence relation
- u-isomorphic semigroups of continuous functions in locally compact spaces
- Lattice-equivalence of topological spaces
- Rings of real-valued continuous functions. II
- General topology (set-theoretic trend)
- M-structure and the Banach-Stone theorem
- Module of all functions over the ring of continuous functions
- Description of closed ideals in algebras of continuous vector-valued functions
- The analytic extension of the resolvent of outer three-dimensional problems for Laplace operators in the second sheet
- A survey of semigroups of continuous selfmaps
- Projective ideals in rings of continuous functions
- Epimorphisms of inverse semigroups of homeomorphisms between closed subsets
- Eine elementare Charakterisierung von Homöomorphismen
- Addendum to ``A survey of semigroups of continuous selfmaps
- On lattice isomorphisms of C(X)+
- Isomorphism of the multiplicative semigroups of rings of continuous functions
- u-isomorphic semigroups of continuous functions
- Topological spaces determined by left ideals of semigroups
- Further results on E-compact spaces. I
- Verbände stetiger Funktionen und kettenwertige Homomorphismen
- Ideals of semi-continuous functions and compactifications of \(T_ 1\) spaces
- On certain ideals of \(C(X)\)
- Rings of continuous functions with values in a non-archimedean ordered field
- Proximity structures and grills
- On isomorphic groups and homeomorphic spaces
- On bicompact spaces
- Lattices and topological spaces
- Multiplicative semigroups of continuous functions
- Homeomorphism groups of certain topological spaces
- CONTINUOUS FUNCTIONS ON COUNTABLE ORDINALS
- Isomorphisms between spaces of vector-valued continuous functions
- Topological rings of continuous real functions
- On the module of functions with compact support over a ring of continuous functions
- Lattices of Continuous Monotonic Functions
- Monomorphisms of Semigroups of Local Dendrites
- Epimorphisms From S(X) onto S(Y)
- Near isometries of spaces of weak * continuous functions, with an application to Bochner spaces
- Homogeneous and non-homogeneous duality
- On isomorphism theorems forC(X)
- Rings of Continuous Functions with Values in a Topological Field
- The characteristic semigroup of a topological space
- Ordered Topological Spaces and the Representation of Distributive Lattices
- Homomorphisms from S(X) into S(Y)
- Local Isomorphisms of Algebras of Continuous Functions
- On Projective Prime Ideals in C(X)
- Homomorphisms Between Lattices of Zero-Sets
- E-compactness and continuous function spaces
- Semigroups which admit few embeddings
- On Structure Spaces of Ideals In Rings of Continuous Functions
- On the Representations of an Abstract Lattice as the Family of Closed Sets of a Topological Space
- Semigroups of Continuous Functions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Generalized Banach-Stone Theorem
- On the maximal ring of quotients of $C\left( X \right)$
- On subgroups of the homeomorphism group of the Cantor set
- Restrictive Semigroups of Closed Functions
- Spaces determined by a group of functions
- On Isomorphisms with Small Bound
- Prime Ideal Structure of Rings of Bounded Continuous Functions
- Zero-free fortifying homomorphisms and semigroups of relations
- A Note on Equimorphisms of Proximity Spaces.
- Isomorphisms of triform semigroups
- Integer-valued continuous functions
- Topologies uniquely determined by their continuous self maps
- Isotopisms of Semigroups of Functions
- Rings of Integer-Valued Continuous Functions
- Supports of Continuous Functions
- Representation of Distributive Lattices by means of ordered Stone Spaces
- Semirings of Functions Determine Finite T 0 Topologies
- Integer-Valued Continuous Functions II
- The semigroup of endomorphisms of a Boolean ring
- Characterizing topologies by functions
- On Isomorphisms Between Ideals in Rings of Continuous Functions
- Structures of continuous functions. I
- Epireflections in the category of $T_0$-spaces
- Representations of algebras by continuous sections
- Restrictive Semigroups of Continuous Self-Maps on Arcwise Connected Spaces
- Restrictive Semigroups of Continuous Functions on 0-Dimensional Spaces
- I-Subsemigroups and α-monomorphisms
- The Categories of Boolean Lattices, Boolean Rings and Boolean Spaces
- Some Characterizations of Interior Transformations
- Lattices of continuous functions
- Rings of Real-Valued Continuous Functions. I
- Topological Rings
- Lattices of Continuous Functions II
- A General Theory of Spectra