Dependence of strict homological dimension of \(C(\Omega)\) on the topology of \(\Omega\)

DOI10.1007/BF02110783zbMath0835.46061MaRDI QIDQ1893647

E. Sh. Kurmakaeva

Publication date: 10 July 1995

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

cohomological dimensionhomological dimensionsfunctional Banach algebrainjective tensor productstrict algebrasBanach algebra with uniform norm and pointwise multiplication of the complex-valued functions that are continuousstrict bidimensionVaropoulus algebras

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Tensor products in functional analysis (46M05)

Related Items (3)

An additivity formula for the strict global dimension of \(C(\Omega)\) ⋮ Unnamed Item ⋮ On strict homological dimensions of algebras of continuous functions

Cites Work

• Covering properties on \(X^ 2\setminus \Delta \), \(W\)-sets, and compact subsets of \(\Sigma\)-products
• The Global Dimension of C(X)
• Automatic Continuity: a Survey
• Produits tensoriels topologiques et espaces nucléaires

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