Continuous mappings with an infinite number of topologically critical points
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 87-93
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We prove that the topological φ-category of a pair (M,N) of topological manifolds is infinite if the algebraic φ-category of the pair of fundamental groups (π₁(M),π₁(N)) is infinite. Some immediate consequences of this fact are also pointed out.
Keywords:
topologically critical points, covering mappings, G-manifolds
Affiliations des auteurs :
Cornel Pintea 1
@article{10_4064_ap_67_1_87_93,
author = {Cornel Pintea},
title = {Continuous mappings with an infinite number of topologically critical points},
journal = {Annales Polonici Mathematici},
pages = {87--93},
year = {1997},
volume = {67},
number = {1},
doi = {10.4064/ap-67-1-87-93},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-67-1-87-93/}
}
TY - JOUR AU - Cornel Pintea TI - Continuous mappings with an infinite number of topologically critical points JO - Annales Polonici Mathematici PY - 1997 SP - 87 EP - 93 VL - 67 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-67-1-87-93/ DO - 10.4064/ap-67-1-87-93 LA - en ID - 10_4064_ap_67_1_87_93 ER -
Cornel Pintea. Continuous mappings with an infinite number of topologically critical points. Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 87-93. doi: 10.4064/ap-67-1-87-93
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