Geodesic
Characterization of Complete Mappings by Means of Morphisms into Zero-Dimensional Mappings
Matematičeskie trudy, Tome 7 (2004) no. 2, pp. 72-97

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, as in the case of $\Pi$-complete spaces, in particular, superparacompact and bicompact spaces, we prove that all components of tubularly (weakly) $\Pi$-complete mappings (in particular, of (weakly) $\Pi$-complete and superparacompact mappings) coincide with their quasicomponents, are compact, and each of their neighborhoods includes a clopen neighborhood. We also give characterizations of tubularly (weakly) $\Pi$-complete mappings by using morphisms and embeddings. Furthermore, we generalize the Shura-Bura lemma on the components of bicompacta to bicompact mappings. 
@article{MT_2004_7_2_a2,
     author = {D. K. Musaev},
     title = {Characterization of {Complete} {Mappings} by {Means} of {Morphisms} into {Zero-Dimensional} {Mappings}},
     journal = {Matemati\v{c}eskie trudy},
     pages = {72--97},
     publisher = {mathdoc},
     volume = {7},
     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MT_2004_7_2_a2/}
}
TY  - JOUR
AU  - D. K. Musaev
TI  - Characterization of Complete Mappings by Means of Morphisms into Zero-Dimensional Mappings
JO  - Matematičeskie trudy
PY  - 2004
SP  - 72
EP  - 97
VL  - 7
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MT_2004_7_2_a2/
LA  - ru
ID  - MT_2004_7_2_a2
ER  - 
%0 Journal Article
%A D. K. Musaev
%T Characterization of Complete Mappings by Means of Morphisms into Zero-Dimensional Mappings
%J Matematičeskie trudy
%D 2004
%P 72-97
%V 7
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MT_2004_7_2_a2/
%G ru
%F MT_2004_7_2_a2
D. K. Musaev. Characterization of Complete Mappings by Means of Morphisms into Zero-Dimensional Mappings. Matematičeskie trudy, Tome 7 (2004) no. 2, pp. 72-97. http://geodesic.mathdoc.fr/item/MT_2004_7_2_a2/