Locally semialgebraic superspaces and Nash supermanifolds

DOI10.1090/conm/804/16111MaRDI QIDQ6607660

Mahir Bilen Can

Publication date: 18 September 2024

zbMATH Keywords

supermanifoldsNash manifoldsflabby sheaflocally semialgebraic spacesBatchelor's theoremsoft sheaf

Mathematics Subject Classification ID

Supervarieties (14M30) Semialgebraic sets and related spaces (14P10) Analysis on supermanifolds or graded manifolds (58C50) Real-analytic and Nash manifolds (58A07)

Cites Work

• Sheaves on \(\mathcal T\)-topologies
• One-dimensional Nash groups
• Algebraic geometry and analytic geometry
• On Efroymson's extenson theorem for Nash functions
• Locally semialgebraic spaces
• An introduction to locally semialgebraic spaces
• Nash manifolds
• On groups and fields definable in o-minimal structures
• Semialgebraic topology over a real closed field. II: Basic theory of semialgebraic spaces
• Embedding semi-algebraic spaces
• Homology of locally semialgebraic spaces
• A Nullstellensatz for Nash rings
• Groups definable in local fields and pseudo-finite fields
• Almost linear Nash groups
• Algebraic spaces
• The Structure of Supermanifolds
• Schwartz Functions on Nash Manifolds
• Two Approaches to Supermanifolds
• A global theory of supermanifolds
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