Pseudocompact spaces $X$ and $df$-spaces $C_{c}\left ( X\right ) $

DOI10.1090/S0002-9939-04-07279-XzbMath1048.46029MaRDI QIDQ4461155

Jerzy Kąkol, Stephen A. Saxon, Aaron R. Todd

Publication date: 29 March 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

compact-open topologylocally completepseudocompact spaceweak barrelledness(DF)-spacedf-space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Compactness (54D30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30)

Related Items (17)

Weak barrelledness for \(C(X)\) spaces ⋮ Tightness and distinguished Fréchet spaces ⋮ BARRELLED SPACES WITH(OUT) SEPARABLE QUOTIENTS ⋮ Separable quotients for less-than-barrelled function spaces ⋮ Unnamed Item ⋮ Some uniformities on \(X\) related to topological properties of \(C(X)\) ⋮ Quasi-Suslin weak duals ⋮ On realcompact topological vector spaces ⋮ Mackey first countability and docile locally convex spaces ⋮ On a three-space property for Lindelöf \(\Sigma\)-spaces, (WCG)-spaces and the Sobczyk property ⋮ A note on the weak topology of spaces \(C_k(X)\) of continuous functions ⋮ Mackey hyperplanes/enlargements for Tweddle's space ⋮ The dual of the locally convex space \(C_p(X)\) ⋮ The quotient/codimension problems ⋮ Weakly K-analytic spaces and the three-space property for analyticity ⋮ Locally convex properties of free locally convex spaces ⋮ Separable quotients in 𝐶_{𝑐}(𝑋), 𝐶_{𝑝}(𝑋), and their duals

Cites Work

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• Sur quelques propriétés de l'espace C\(_s\)(T)
• The topology of compact convergence on continuous function spaces
• Sixteen topological types in beta omega-omega
• Mackey \(\aleph_0\)-barrelled spaces
• Support spaces and \(P(K)\)-points in the Stone-Čech compactification of the integers
• Functional representation of topological algebras
• Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology
• Dual local completeness
• Montel (DF)-Spaces, Sequential (LM)-Spaces and the Strongest Locally Convex Topology
• Bounded Measures on Topological Spaces

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