Simultaneous lattice and topological completion of topological posets

John Boris Miller

Compositio Mathematica (1975)

  • Volume: 30, Issue: 1, page 63-80
  • ISSN: 0010-437X

How to cite

top

Miller, John Boris. "Simultaneous lattice and topological completion of topological posets." Compositio Mathematica 30.1 (1975): 63-80. <http://eudml.org/doc/89247>.

@article{Miller1975,
author = {Miller, John Boris},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {63-80},
publisher = {Noordhoff International Publishing},
title = {Simultaneous lattice and topological completion of topological posets},
url = {http://eudml.org/doc/89247},
volume = {30},
year = {1975},
}

TY - JOUR
AU - Miller, John Boris
TI - Simultaneous lattice and topological completion of topological posets
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 30
IS - 1
SP - 63
EP - 80
LA - eng
UR - http://eudml.org/doc/89247
ER -

References

top
  1. [1] B. Banaschewski: Über die Vervollständigung geordneter Gruppen. Math. Nachrichten16 (1957) 51-71 Zbl0077.03302MR87662
  2. [2] G. Birkhoff: Lattice theory. (Amer. Math. Soc., Providence, 3rd ed. 1967). Zbl0153.02501MR227053
  3. [3] N. Cameron and J.B. Miller: Topology and axioms of interpolation in partially ordered spaces. J. für die reine u. angewandte Math. (to appear). Zbl0312.06008MR453600
  4. [4] L. Fuchs: Partially ordered algebraic systems. (Pergamon, 1963). Zbl0137.02001MR171864
  5. [5] R.J. Loy and J.B. Miller: Tight Riesz groups. J. Australian Math. Soc.13 (1972) 224-240. Zbl0243.06011MR297669
  6. [6] H.M. Macneille: Partially ordered sets. Trans Amer. Soc.42 (1937) 416-460. Zbl0017.33904MR1501929JFM63.0833.04
  7. [7] A.L. Peressini: Ordered topological vector spaces. (Harper and Row, New York, 1967). Zbl0169.14801MR227731
  8. [8] R.H. Redfield: Ordering uniform completions of partially ordered sets. Canadian J. Math.26 (1974) 644-664. Zbl0286.06006MR362251
  9. [9] R.H. Redfield: Uniform subcompletions of Dedekind completions. (preprint, Simon Fraser University, Burnaby, B.C.) 
  10. [10] N.R. Reilly: Representations of ordered groups with compatible tight Riesz orders. J. Aust. Math. Soc. (to appear). Zbl0311.06012MR379319
  11. [11] P. Ribenboim: Théorie des groupes ordonnés. (Universidad Nacional del Sur, Bahia Blanca, 1960). Zbl0122.03603MR181678
  12. [12] B.F. Sherman: Cauchy completion of partially ordered groups. J. Aust. Math. Soc. (to appear). Zbl0294.06015MR472637
  13. [13] A. Weil: Sur les espaces à structure uniforme et sur la topologie générale. Actualités Sci. Ind. 551 (Paris, 1937). Zbl0019.18604JFM63.0569.04

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.