Convergence of holomorphic chains

• Autorzy: Sławomir Rams
• Języki publikacji: EN

Abstrakty

EN

We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.

Słowa kluczowe

EN

holomorphic chains; currents; convergence of chains

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds
• 32B15: Analytic subsets of affine space
• 32C99: None of the above, but in this section
• 32C30: Integration on analytic sets and spaces, currents

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 3
• Strony: 227-234

Daty

wydano

1997

otrzymano

1996-04-03

poprawiono

1996-07-26

Twórcy

autor

Sławomir Rams

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [Ch] E. M. Chirka, Complex Analytic Sets, Kluwer Acad. Publishers, 1989.
• [Dr] R. N. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204.
• [En] R. Engelking, General Topology, Heldermann, 1989.
• [Gu] R. C. Gunning, Introduction to Holomorphic Functions of Several Complex Variables. Local Theory, Wadsworth & Brooks/Cole, 1990.
• [Ha] R. Harvey, Holomorphic chains and their boundaries, in: Proc. Sympos. Pure Math. 30, Part 1, Amer. Math. Soc., 1977, 309-382.
• [Ło] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991.
• [R] S. Rams, Bezout-type theorem for certain analytic sets, in preparation.
• [Tw] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191.
• [TW] P. Tworzewski and T. Winiarski, Continuity of intersection of analytic sets, Ann. Polon. Math. 42 (1983), 387-393.
• [Wi] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178.