Analytic Functions of Several Complex Variables
Book
Foundational Source
Category Theory
Citation
Robert C. Gunning and Hugo Rossi. (1965). Analytic Functions of Several Complex Variables. Prentice-Hall.
Why this reference is included
Gunning and Rossi’s Analytic Functions of Several Complex Variables (1965), published by Prentice-Hall, sits in the program’s reference corpus as a standing technical source. Cited across Book II (Categorical Holomorphy), Part 6, Chapter Sheaf Coherence from ω-Germ Compatibility; Book II (Categorical Holomorphy), Part 9, Chapter Hartogs Extension in H_τ — the central framing is “A sheaf is a presheaf with two additional properties: local data that agrees on overlaps can be glued into global data (the gluing axiom), and a global section that vanishes…”.
Cited in
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Book II — Categorical Holomorphy Part 6Chapter Sheaf Coherence from ω-Germ Compatibility
A sheaf is a presheaf with two additional properties: local data that agrees on overlaps can be glued into global data (the gluing axiom), and a global section that vanishes locally vanishes globally (the locality axiom)
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Book II — Categorical Holomorphy Part 9Chapter Hartogs Extension in H_τ
Classical several complex variables (SCV) answers a related question via the Hartogs extension theorem : a holomorphic function defined on the complement of a compact subset of a domain in ℂ^n (n ≥ 2) extends uniquely to the full domain