Convergence of holomorphic chains

Sławomir Rams

Annales Polonici Mathematici (1997)

  • Volume: 65, Issue: 3, page 227-234
  • ISSN: 0066-2216

Abstract

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

How to cite

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Sławomir Rams. "Convergence of holomorphic chains." Annales Polonici Mathematici 65.3 (1997): 227-234. <http://eudml.org/doc/269945>.

@article{SławomirRams1997,
abstract = {We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.},
author = {Sławomir Rams},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic chains; currents; convergence of chains},
language = {eng},
number = {3},
pages = {227-234},
title = {Convergence of holomorphic chains},
url = {http://eudml.org/doc/269945},
volume = {65},
year = {1997},
}

TY - JOUR
AU - Sławomir Rams
TI - Convergence of holomorphic chains
JO - Annales Polonici Mathematici
PY - 1997
VL - 65
IS - 3
SP - 227
EP - 234
AB - We endow the module of analytic p-chains with the structure of a second-countable metrizable topological space.
LA - eng
KW - holomorphic chains; currents; convergence of chains
UR - http://eudml.org/doc/269945
ER -

References

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  1. [Ch] E. M. Chirka, Complex Analytic Sets, Kluwer Acad. Publishers, 1989. Zbl0683.32002
  2. [Dr] R. N. Draper, Intersection theory in analytic geometry, Math. Ann. 180 (1969), 175-204. Zbl0157.40502
  3. [En] R. Engelking, General Topology, Heldermann, 1989. 
  4. [Gu] R. C. Gunning, Introduction to Holomorphic Functions of Several Complex Variables. Local Theory, Wadsworth & Brooks/Cole, 1990. 
  5. [Ha] R. Harvey, Holomorphic chains and their boundaries, in: Proc. Sympos. Pure Math. 30, Part 1, Amer. Math. Soc., 1977, 309-382. 
  6. [Ło] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. 
  7. [R] S. Rams, Bezout-type theorem for certain analytic sets, in preparation. Zbl0947.32002
  8. [Tw] P. Tworzewski, Intersection theory in complex analytic geometry, Ann. Polon. Math. 62 (1995), 177-191. Zbl0911.32018
  9. [TW] P. Tworzewski and T. Winiarski, Continuity of intersection of analytic sets, Ann. Polon. Math. 42 (1983), 387-393. Zbl0576.32013
  10. [Wi] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

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