Universal arrows to forgetful functors from categories of topological algebra
DOI10.1017/S0004972700015665zbMath0784.18002arXivfunct-an/9208001OpenAlexW2103073852MaRDI QIDQ4276501
Publication date: 23 March 1994
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/funct-an/9208001
free topological groupsfree locally convex spacescategories of topological algebracategories of topologyfree Banach-Lie algebrasfree graded-commutative algebrasuniversal arrows to forgetful functors
Structure of general topological groups (22A05) Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Identities, free Lie (super)algebras (17B01) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Categorical methods in general topology (54B30) General theory of locally convex spaces (46A03) Categories, functors in functional analysis (46M15) Structure, classification of topological algebras (46H20) Exterior algebra, Grassmann algebras (15A75) Character groups and dual objects (43A40)
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Cites Work
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- Theory of infinite dimensional Lie groups and its applications
- On embedding uniform and topological spaces
- Souslin property in free topological groups on bicompacta
- Free compact groups. IV: Splitting the component and the structure of the commutator group
- A method for constructing examples of M-equivalent spaces
- Free and residually finite-dimensional \(C^*\)-algebras
- Completeness of topological groups
- Free products of topological groups with amalgamation
- Free compact groups. I: Free compact abelian groups
- A universal topological group with countable base
- Compact matrix pseudogroups
- Compactness is not preserved by the t-equivalence relation
- Free Banach spaces and representations of topological groups
- Free compact groups. II: The center
- Usage of infinite-dimensional nuclear algebras in superanalysis
- Subspaces of \(C^ *\)-algebras
- On the existence of free topological groups
- Homeomorphisms of free topological groups do not preserve compactness
- Quantum K-theory. I: The Chern character
- On unconditionally closed sets and a certain conjecture of A. A. Markov
- Les extensions de gl(E) par un noyau de dimension finie sont triviales
- Uniform free topological groups and Samuel compactifications
- Free abelian topological groups and adjunction spaces
- Tensor products of operator spaces
- Pfaffians on Banach spaces
- Ground algebras for superanalysis
- Free topological groups and principal fiber bundles
- Free Banach-Lie algebras, couniversal Banach-Lie groups, and more
- An essay on noncommutative topology
- Embedding theorems for local analytic groups
- A generalization of normed rings
- Even sectors of Lie superalgebras as locally convex Lie algebras
- FREE ABELIAN TOPOLOGICAL GROUPS ON SPHERES
- The Weak Topology of a Banach Space
- Free Topological Groups
- A Short Solution of Markov's Problem on Connected Group Topologies
- On a method of constructing examples ofM-equivalent spaces
- Some topological properties preserved by the relation ofM-equivalence
- Free subgroups of free abelian topological groups
- ON THE INTERRELATIONS AMONG THE PERIPHERAL PROPERTIES OF TIKHONOV SPACES, THEIR POWERS, EXPONENTIALS, FREE GROUPS, AND SEMIGROUPS
- Sequential Conditions and Free Topological Groups
- LOCAL THEOREMS FOR TOPOLOGICAL GROUPS
- RELATIONS AMONG THE INVARIANTS OF TOPOLOGICAL GROUPS AND THEIR SUBSPACES
- Weak and Pointwise Compactness in the Space of Bounded Continuous Functions
- Classes of topological groups
- A Free Subgroup of the Free Abelian Topological Group on the unit Interval
- Free Topological Groups with no Small Subgroups
- Subgroups of Free Topological Groups and Free Topological Products of Topological Groups
- Subgroups of the Free Topological Group on [0, 1]
- Free Topological Groups and Dimension
- Applications of the Stone-Cech Compactification to Free Topological Groups
- Reflexivity of Topological Groups
- The free topological group over the rationals
- A Kurosh Subgroup Theorem for Topological Groups
- Some Nonprojective Subgroups of Free Topological Groups
- Shape theory for $C^*$-algebras.
- Characterization of Bases of Subgroups of Free Topological Groups
- Free topological algebras
- Cohomology of Local Group Extensions
- A Short Proof of the Arens-Eells Embedding Theorem
- k-Groups and Duality
- Varieties of Linear Topological Spaces
- Free Topological Groups and the Projective Dimension of a Locally Compact Abelian Group
- On universal mappings and free topological groups
- Free topological groups and infinite direct product topological groups
- Note on free topological groups