On some dicardinal functions in ditopological texture spaces

Kadirhan Polat; Tamer Ugur

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

top
In the paper we show that net weight and conet weight equal each other in any complemented ditopological space, and investigate under which conditions pseudo character and copseudo character equal each other. We give some important results “bounding" the set Q of all q-sets in (a particular subclass of) the class of all ditopological texture spaces.

How to cite

top

Kadirhan Polat, and Tamer Ugur. "On some dicardinal functions in ditopological texture spaces." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/275977>.

@article{KadirhanPolat2015,
abstract = {In the paper we show that net weight and conet weight equal each other in any complemented ditopological space, and investigate under which conditions pseudo character and copseudo character equal each other. We give some important results “bounding" the set Q of all q-sets in (a particular subclass of) the class of all ditopological texture spaces.},
author = {Kadirhan Polat, Tamer Ugur},
journal = {Open Mathematics},
keywords = {Ditopological texture space; Net weight; Pseudo character; Cardinal invariant; Dicardinal function},
language = {eng},
number = {1},
pages = {null},
title = {On some dicardinal functions in ditopological texture spaces},
url = {http://eudml.org/doc/275977},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Kadirhan Polat
AU - Tamer Ugur
TI - On some dicardinal functions in ditopological texture spaces
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - In the paper we show that net weight and conet weight equal each other in any complemented ditopological space, and investigate under which conditions pseudo character and copseudo character equal each other. We give some important results “bounding" the set Q of all q-sets in (a particular subclass of) the class of all ditopological texture spaces.
LA - eng
KW - Ditopological texture space; Net weight; Pseudo character; Cardinal invariant; Dicardinal function
UR - http://eudml.org/doc/275977
ER -

References

top
  1. [1] Brown L.M., Ditopological fuzzy structures i, Fuzzy Syst. and AI Magazine., 1993, 3(1) 
  2. [2] Brown L.M., Ditopological fuzzy structures ii, Fuzzy Syst. and AI Magazine., 1993, 3(2) 
  3. [3] Brown L.M., Diker M., Paracompactness and full normality in ditopological texture spaces, J. Math. Anal. Appl., 1998, 227(1), 144-165 Zbl0920.54029
  4. [4] Brown L.M., Diker M., Ditopological texture spaces and intuitionistic sets, Fuzzy Set. Syst., 1998, 98(2), 217-224 Zbl0930.54006
  5. [5] Brown L.M., Ertürk R., Fuzzy sets as texture spaces, I. Representation theorems, Fuzzy Set. Syst., 2000, 110(2), 227-235 Zbl0953.54010
  6. [6] Brown L.M., Ertürk R., Fuzzy sets as texture spaces, II. Subtextures and quotient textures, Fuzzy Set. Syst., 2000, 110(2), 237-245 Zbl0956.54006
  7. [7] Brown L.M., Ertürk R., Dost S., Ditopological texture spaces and fuzzy topology, I. Basic concepts, Fuzzy Set. Syst., 2004, 147(2), 171-199 Zbl1070.54002
  8. [8] Brown L.M., Ertürk R., Dost S., Ditopological texture spaces and fuzzy topology, II. Topological considerations, Fuzzy Set. Syst., 2004, 147(2), 201-231 Zbl1070.54003
  9. [9] Brown L.M., Ertürk R., Dost S¸ ., Ditopological texture spaces and fuzzy topology, III. Separation axioms, Fuzzy Set. Syst., 2006, 157(14), 1886-1912 Zbl1111.54004
  10. [10] Holz M., Steffens K., Introduction to cardinal arithmetic, 2nd ed., Birkhäuser, Basel, 2010 Zbl1187.03037
  11. [11] Juhász I., Cardinal functions in topology, MC Tracts., 1979, 34, 1-150 
  12. [12] Juhász I., Cardinal functions in topology-ten years later, MC Tracts., 1980, 123, 2-97 
  13. [13] Kunnen K., Vaughan J., Handbook of set-theoretic topology, North-Holland, Amsterdam, 1984 
  14. [14] Polat K., Elmalı C.S., U˘gur T., Cardinal functions on ditopological texture spaces, Life Sci. J., 2014, 11(9), 293-297 
  15. [15] Yıldız F., Özça˘g S., The ditopology generated by pre-open and pre-closed sets, and submaximality in textures, Filomat., 2013, 27(1), 95-107 [WoS] Zbl1324.54007

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.