Pseudo-Confluent Mappings and a Classification of Continua
Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1336-1348

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we introduce a new class of mappings and apply it to study some local properties of continua. A solution is obtained to a problem raised in [14] by the first author (see 4.4 below). By a mapping we always mean a continuous function.
Lelek, A.; Tymchatyn, E. D. Pseudo-Confluent Mappings and a Classification of Continua. Canadian journal of mathematics, Tome 27 (1975) no. 6, pp. 1336-1348. doi: 10.4153/CJM-1975-136-4
@article{10_4153_CJM_1975_136_4,
     author = {Lelek, A. and Tymchatyn, E. D.},
     title = {Pseudo-Confluent {Mappings} and a {Classification} of {Continua}},
     journal = {Canadian journal of mathematics},
     pages = {1336--1348},
     year = {1975},
     volume = {27},
     number = {6},
     doi = {10.4153/CJM-1975-136-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-136-4/}
}
TY  - JOUR
AU  - Lelek, A.
AU  - Tymchatyn, E. D.
TI  - Pseudo-Confluent Mappings and a Classification of Continua
JO  - Canadian journal of mathematics
PY  - 1975
SP  - 1336
EP  - 1348
VL  - 27
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-136-4/
DO  - 10.4153/CJM-1975-136-4
ID  - 10_4153_CJM_1975_136_4
ER  - 
%0 Journal Article
%A Lelek, A.
%A Tymchatyn, E. D.
%T Pseudo-Confluent Mappings and a Classification of Continua
%J Canadian journal of mathematics
%D 1975
%P 1336-1348
%V 27
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-136-4/
%R 10.4153/CJM-1975-136-4
%F 10_4153_CJM_1975_136_4

[1] 1. Charatonik, J. J., Confluent mappings and unicoherence of continua, Fund. Math. 56 (1964), 213–220. Google Scholar

[2] 2. Gordh, C. A., Fugate, J. B. and Eberhart, G. R. Jr., Branch-point covering theorems for confluent and weakly confluent mappings, to appear. Google Scholar

[3] 3. Epps, B. B. Jr., Strongly confluent mappings, Notices Amer. Math. Soc. 19 (1972), A-807. Google Scholar

[4] 4. Epps, B. B., A classification of continua and confluent transformations, Ph.D. thesis, University of Houston, 1973. Google Scholar

[5] 5. Fort, M. K. Jr., Images of plane continua, Amer. J. Math. 81 (1959), 541–546. Google Scholar

[6] 6. Jobe, J., Dendrites, dimension, and the inverse arc function, Pacific J. Math. 1+5 (1973), 245–256. Google Scholar

[7] 7. Krasinkiewicz, J., Remark on mappings not raising dimension of curves, Pacific 55 479–481. Google Scholar

[8] 8. Kuratowski, K., Topology, vol. I (Academic Press 1966). Google Scholar

[9] 9. Kuratowski, K., Topology, vol. II (Academic Press 1968). Google Scholar

[10] 10. Lelek, A., On confluent mappings, Colloq. Math. 15 (1966), 223–233. Google Scholar

[11] 11. Lelek, A., On the topology of curves II, Fund. Math. 70 (1971), 131–138. Google Scholar

[12] 12. Lelek, A., A classification of mappings pertinent to curve theory, Proc. Univ. Oklahoma Topology Conference 1972, 97–103. Google Scholar

[13] 13. Lelek, A., Report on weakly confluent mappings, Proc. Virginia Polytechnic Institute State Univ. Topology Conference 1973; Lecture Notes in Mathematics 375, Springer-Verlag 1974, 168–170. Google Scholar

[14] 14. Lelek, A., Several problems of continua theory, Proc. Univ. North Carolina Charlotte Topology Conference 1974; Studies in Topology, Academic Press 1975, 325–329. Google Scholar

[15] 15. Lelek, A., Properties of mappings and continua theory, to appear, Rocky Mountain J. Math. Google Scholar

[16] 16. Lelek, A., Some rational curves and properties of mappings, to appear, Colloq. Math. Google Scholar

[17] 17. Lelek, A. and Read, D. R., Compositions of confluent mappings and some sup>her classes of functions, Colloq. Math. 29 (1974), 101–112. her+classes+of+functions,+Colloq.+Math.+29+(1974),+101–112.>Google Scholar

[18] 18. Mazurkiewicz, S., Sur Vexistence des continus indécomposables, Fund. Math. 25 (1935), 327–328. Google Scholar

[19] 19. Tymchatyn, E. D., Continua in which all connected subsets are arcwise connected, Trans. Amer. Math. Soc. 205 (1975), 317–331. Google Scholar

[20] 20. Whyburn, G. T., Analytic topology, Amer. Math. Soc. Colloquium Publications, vol. 28, 1963. Google Scholar

Cité par Sources :