Geodesic
Quasicontinuity and related properties of functions and multivalued maps
Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 393-403
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
The main results presented in this paper concern multivalued maps. We consider the cliquishness, quasicontinuity, almost continuity and almost quasicontinuity; these properties of multivalued maps are characterized by the analogous properties of some real functions. The connections obtained are used to prove decomposition theorems for upper and lower quasicontinuity.
DOI : 10.21136/MB.1995.126086
Classification : 26A25, 26E25, 54C08, 54C60
Keywords: uniform space; multifunctions; decomposition theorem; quasicontinuity; multivalued map 
@article{10_21136_MB_1995_126086,
     author = {Ewert, Janina},
     title = {Quasicontinuity and related properties of functions and multivalued maps},
     journal = {Mathematica Bohemica},
     pages = {393--403},
     year = {1995},
     volume = {120},
     number = {4},
     doi = {10.21136/MB.1995.126086},
     mrnumber = {1415087},
     zbl = {0843.54018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126086/}
}
TY  - JOUR
AU  - Ewert, Janina
TI  - Quasicontinuity and related properties of functions and multivalued maps
JO  - Mathematica Bohemica
PY  - 1995
SP  - 393
EP  - 403
VL  - 120
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126086/
DO  - 10.21136/MB.1995.126086
LA  - en
ID  - 10_21136_MB_1995_126086
ER  - 
%0 Journal Article
%A Ewert, Janina
%T Quasicontinuity and related properties of functions and multivalued maps
%J Mathematica Bohemica
%D 1995
%P 393-403
%V 120
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1995.126086/
%R 10.21136/MB.1995.126086
%G en
%F 10_21136_MB_1995_126086
Ewert, Janina. Quasicontinuity and related properties of functions and multivalued maps. Mathematica Bohemica, Tome 120 (1995) no. 4, pp. 393-403. doi: 10.21136/MB.1995.126086

[1] D. Andrijević: Semi-preopen sets. Mat. Vestnik 38 (1986), 24-32.

[2] J. Borsík J. Doboš: On decomposition of quasicontinuity. Real Anal. Exch. 16 (1990-91), 292-305. | DOI | MR

[3] J. Ewert: On quasi-continuous and cliquish maps with values in uniform spaces. Bull. Polish Acad. Sci. Math. 32 (1984), 81-88. | MR | Zbl

[4] J. Ewert: Quasi-continuity of multivalued maps with respect to the qualitative topology. Acta Math. Hungarica 56 (1990), 39-44. | DOI | MR | Zbl

[5] J. Ewert: On almost quasicontinuity of functions. Tatra Mountains Math. Publ. 2 (1993), 81-91. | MR | Zbl

[6] L. A. Fudali: On cliquish functions on product spaces. Math. Slovaca 33 (1983), 53-58. | MR | Zbl

[7] H. Hashimoto: On the *-topology and its application. Fundam. Math. 91 (1976), 5-10. | DOI | MR

[8] T. Husain: Almost continuous mappings. Prace Mat. 10 (1966), 1-7. | MR | Zbl

[9] S. Kempisty: Sur les fonctions quasi-continues. Fundam. Math. 19 (1932), 184-197. | DOI

[10] N. Levine: Semi-open sets and semi-continuity in topological spaces. Amer. Math. Monthly 70 (1963), 36-41. | DOI | MR | Zbl

[11] J. S. Lipiński T. Šalát: On the points of quasi-continuity and cliquishness of functions. Czechoslov. Math. J. 21 (1971), 484-489. | MR

[12] T. Neubrunn: Quasicontinuity. Real Anal. Exch. 14 (1988-89), 259-306. | MR

[13] A. Neubrunnová: On quasicontinuous and cliquish functions. Časopis Pěst. Mat. 99 (1974), 109-114. | MR

[14] A. Neubrunnová T. Šalát: On almost quasicontinuity. Math. Bohemica 117 (1992), 197-205. | MR

[15] J. C. Oxtoby: Measure and category. New York-Heidelberg-Berlin, 1971. | Zbl

[16] V. Popa: H-almost continuous multifunctions. Stud. Cerc. Mat. 32 (1980), 103-109. | MR | Zbl

[17] J. Smítal E. Stanová: On almost continuous functions. Acta Math. Univ. Comenianae 37 (1980), 147-156. | MR

[18] H. P. Thielman: Types of functions. Amer. Math. Monthly 60 (1953), 156-161. | DOI | MR | Zbl

Cité par Sources :