Function spaces on ordinals

Rafał Górak

Commentationes Mathematicae Universitatis Carolinae (2005)

  • Volume: 46, Issue: 1, page 93-103
  • ISSN: 0010-2628

Abstract

top
We give a partial classification of spaces C p ( [ 1 , α ] ) of continuous real valued functions on ordinals with the topology of pointwise convergence with respect to homeomorphisms and uniform homeomorphisms.

How to cite

top

Górak, Rafał. "Function spaces on ordinals." Commentationes Mathematicae Universitatis Carolinae 46.1 (2005): 93-103. <http://eudml.org/doc/249518>.

@article{Górak2005,
abstract = {We give a partial classification of spaces $C_p([1,\alpha ])$ of continuous real valued functions on ordinals with the topology of pointwise convergence with respect to homeomorphisms and uniform homeomorphisms.},
author = {Górak, Rafał},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {function spaces; pointwise topology; uniform homeomorphisms; ordinal numbers; pointwise topology; uniform homeomorphisms; ordinal numbers},
language = {eng},
number = {1},
pages = {93-103},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Function spaces on ordinals},
url = {http://eudml.org/doc/249518},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Górak, Rafał
TI - Function spaces on ordinals
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2005
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 46
IS - 1
SP - 93
EP - 103
AB - We give a partial classification of spaces $C_p([1,\alpha ])$ of continuous real valued functions on ordinals with the topology of pointwise convergence with respect to homeomorphisms and uniform homeomorphisms.
LA - eng
KW - function spaces; pointwise topology; uniform homeomorphisms; ordinal numbers; pointwise topology; uniform homeomorphisms; ordinal numbers
UR - http://eudml.org/doc/249518
ER -

References

top
  1. Arkhangel'skii A.V., Topological Function Spaces, Kluwer Academic Publishers, Dordrecht, 1992. MR1144519
  2. Baars J., de Groot J., On topological and linear equivalence of certain function spaces, CWI Tract 86, Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 1992. Zbl0755.54007MR1182148
  3. Gul'ko S.P., The space C p ( X ) for countable infinite compact X is uniformly homeomorphic to c 0 , Bull. Polish Acad. Sci. Math. 36 (1988), 391-396. (1988) MR1101684
  4. Gul'ko S.P., Spaces of continuous functions on ordinals and ultrafilters, Mat. Zametki 47 (1990), 26-34. (1990) MR1057084
  5. Kislyakov S.V., Classification of spaces of continuous functions of ordinals, Siberian Math. J. 16 (1975), 226-231. (1975) Zbl0327.46033

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.