The factorization theorem for paracompact Σ -spaces

Michael G. Charalambous

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 3, page 411-420
  • ISSN: 0010-2628

How to cite

top

Charalambous, Michael G.. "The factorization theorem for paracompact $\Sigma $-spaces." Commentationes Mathematicae Universitatis Carolinae 029.3 (1988): 411-420. <http://eudml.org/doc/17654>.

@article{Charalambous1988,
author = {Charalambous, Michael G.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Lindelöf fibers; paracompact sigma-space; sigma-locally finite map; covering dimension; factorization theorem},
language = {eng},
number = {3},
pages = {411-420},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The factorization theorem for paracompact $\Sigma $-spaces},
url = {http://eudml.org/doc/17654},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Charalambous, Michael G.
TI - The factorization theorem for paracompact $\Sigma $-spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 3
SP - 411
EP - 420
LA - eng
KW - Lindelöf fibers; paracompact sigma-space; sigma-locally finite map; covering dimension; factorization theorem
UR - http://eudml.org/doc/17654
ER -

References

top
  1. Ju. H. BREGMAN, Some factorization theorem for paracompact σ -spaces, Comment. Math. Univ. Carolinae 28 (1987), 211-215. (1987) MR0904745
  2. M. G. CHARALAMBOUS, A new covering dimension function for uniform spaces, J. London Math. Soc. (2), 11 (1975), 137-143. (1975) Zbl0306.54048MR0375258
  3. M. G. CHARALAMBOUS, Further theory and applications of covering dimension of uniform spaces, to appear. Zbl0776.54024MR1117791
  4. C. H. DOWKER, Local dimension of normal spaces, Quart. J. Math. Ser. 2, 6 (1955), 101-120. (1955) Zbl0066.41204MR0086286
  5. R. ENGELKING, Dimension Theory, Polish Scientific Publishers, Warsaw, 1978. (1978) Zbl0401.54029MR0482697
  6. K. KUNEN J. E. VAUGHAN, Handbook of Set-Theoretic Topology, North-Holland, Amsterdam, 1984. (1984) MR0776619
  7. K. MORITA, On closed mappings, Proc. Japan Acad. 32 (1956), 539-543. (1956) Zbl0072.40401MR0085494
  8. K. NAGAMI, Σ -spaces, Fund. Math. 65 (1969), 169-192. (1969) Zbl0181.50701MR0257963
  9. B. A. PASYNKOV, On universal bicompacta of a given weight and dimension, Soviet Math. Dokl. 5 (1964), 245-246. (1964) 
  10. B. A. PASYNKOV, Factorization theorems in dimension theory, Russian Math. Surveys 36 (1981), 175-209. (1981) Zbl0487.54034MR0622723
  11. A. R. PEARS, Dimension Theory of General Spaces, Cambridge University Press, Cambridge, 1976. (1976) MR0394604

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.