Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves

Jaroslav Drahoš

Czechoslovak Mathematical Journal (1978)

  • Volume: 28, Issue: 4, page 525-547
  • ISSN: 0011-4642

How to cite

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Drahoš, Jaroslav. "Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves." Czechoslovak Mathematical Journal 28.4 (1978): 525-547. <http://eudml.org/doc/13088>.

@article{Drahoš1978,
author = {Drahoš, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {functional separation; inductive limits of closured presheaves; proximity and semiuniform spaces; subcategory of closure spaces},
language = {eng},
number = {4},
pages = {525-547},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves},
url = {http://eudml.org/doc/13088},
volume = {28},
year = {1978},
}

TY - JOUR
AU - Drahoš, Jaroslav
TI - Functional separation of inductive limits and representation of presheaves by sections. Part one: Separation theorems for inductive limits of closured presheaves
JO - Czechoslovak Mathematical Journal
PY - 1978
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 28
IS - 4
SP - 525
EP - 547
LA - eng
KW - functional separation; inductive limits of closured presheaves; proximity and semiuniform spaces; subcategory of closure spaces
UR - http://eudml.org/doc/13088
ER -

References

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  1. N. Bourbaki, Elements de Mathématique, Livre III, Topologie Generale, Paris, Hermann, 1951. (1951) Zbl0042.09201
  2. G. E. Bredon, Sheaf Theory, McGraw-Hill, New York, 1967. (1967) Zbl0158.20505MR0221500
  3. E. Čech, Topological Spaces, Prague, 1966. (1966) MR0211373
  4. J. Dauns K. H. Hofmann, Representation of Rings by Sections, Mem. Amer. Math., Soc, 83 (1968). (1968) Zbl0174.05703MR0247487
  5. J. Dugundji, Topology, Allyn and Bacon, Boston, 1966. (1966) Zbl0144.21501MR0193606
  6. Z. Frolík, Structure Projective and Structure Inductive Presheaves, Celebrazioni archimedee del secolo XX, Simposio di topologia, 1964. (1964) 
  7. A. N. Gelfand D. A. Rajkov G. E. Silov, Commutative Normed Rings, Moscow, 1960 (Russian). (1960) 
  8. E. Нillе, Ralph S. Phillipps, Functional Analysis and Semi-Groups, Providence, 1957. (1957) 
  9. J. L. Kelley, General Topology, Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
  10. G. Koethe, Topological Vector Spaces, I, New York Inc, Springer Vlg, 1969. (1969) Zbl0179.17001
  11. G. J. Minty, 10.1090/S0002-9904-1970-12466-1, Bulletin of the A.M.S., 76, (1970), I. (1970) Zbl0191.34603MR0254575DOI10.1090/S0002-9904-1970-12466-1
  12. J. Pechanec-Drahoš, Representation of Presheaves of Semiuniformisable Spaces, and Representation of a Presheaf by the Presheaf of All Continuous Sections in its Covering Space, Czech. Math. Journal, 21 (96), (1971). (1971) Zbl0225.54007MR0487958

Citations in EuDML Documents

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  1. Jaroslav Drahoš, Functional separation of inductive limits and representation of presheaves by sections. Part II. Embedding of presheaves into presheaves of compact spaces
  2. Jaroslav Drahoš, Functional separation of inductive limits and representation of presheaves by sections. Part III: Some special cases of separation of inductive limits of presheaves
  3. Jaroslav Drahoš, Equivalences in presheaves, functional separation of their inductive limits and representation by sections
  4. Jaroslav Drahoš, Functional separation of inductive limits and representation of presheaves by sections. Part IV: Representation of presheaves by sections

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