Quotients of peripherally continuous functions

Jolanta Kosman

Open Mathematics (2011)

  • Volume: 9, Issue: 4, page 765-771
  • ISSN: 2391-5455

Abstract

top
We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.

How to cite

top

Jolanta Kosman. "Quotients of peripherally continuous functions." Open Mathematics 9.4 (2011): 765-771. <http://eudml.org/doc/269310>.

@article{JolantaKosman2011,
abstract = {We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.},
author = {Jolanta Kosman},
journal = {Open Mathematics},
keywords = {Cardinal invariants; Peripherally continuous functions; Quotient of functions; cardinal invariants; peripherally continuous functions; quotient of functions},
language = {eng},
number = {4},
pages = {765-771},
title = {Quotients of peripherally continuous functions},
url = {http://eudml.org/doc/269310},
volume = {9},
year = {2011},
}

TY - JOUR
AU - Jolanta Kosman
TI - Quotients of peripherally continuous functions
JO - Open Mathematics
PY - 2011
VL - 9
IS - 4
SP - 765
EP - 771
AB - We characterize the family of quotients of peripherally continuous functions. Moreover, we study cardinal invariants related to quotients in the case of peripherally continuous functions and the complement of this family.
LA - eng
KW - Cardinal invariants; Peripherally continuous functions; Quotient of functions; cardinal invariants; peripherally continuous functions; quotient of functions
UR - http://eudml.org/doc/269310
ER -

References

top
  1. [1] Bartoszyński T., Judah H., Set Theory: on the Structure of the Real Line, A.K. Peters, Wellesley, 1995 Zbl0834.04001
  2. [2] Ciesielski K., Maliszewski A., Cardinal invariants concerning bounded families of extendable and almost continuous functions, Proc. Amer. Math. Soc., 1998, 126(2), 471–479 http://dx.doi.org/10.1090/S0002-9939-98-04098-2 Zbl0899.26001
  3. [3] Ciesielski K., Natkaniec T., Algebraic properties of the class of Sierpiński-Zygmund functions, Topology Appl., 1997, 79(1), 75–99 http://dx.doi.org/10.1016/S0166-8641(96)00128-9 Zbl0890.26002
  4. [4] Ciesielski K., Recław I., Cardinal invariants concerning extendable and peripherally continuous functions, Real Anal. Exchange, 1995/96, 21(2), 459–472 Zbl0879.26005
  5. [5] Jałocha J., Quotients of quasi-continuous functions, J. Appl. Anal., 2000, 6(2), 251–258 http://dx.doi.org/10.1515/JAA.2000.251 Zbl0966.26004
  6. [6] Jordan F., Cardinal invariants connected with adding real functions, Real Anal. Exchange, 1996/97, 22(2), 696–713 Zbl0942.26005
  7. [7] Kosman J., Maliszewski A., Quotients of Darboux-like functions, Real Anal. Exchange, 2009/10, 35(1), 243–251 Zbl1203.26004
  8. [8] Natkaniec T., Almost continuity, Real Anal. Exchange, 1991/92, 17(2), 462–520 
  9. [9] Rudin M.E., Martin’s Axiom, In: Handbook of Mathematical Logic, Stud. Logic Found. Math., 90, North-Holland, Amsterdam-New York-Oxford, 1977, 491–501 http://dx.doi.org/10.1016/S0049-237X(08)71111-X 

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.