Continuous mappings with an infinite number of topologically critical points
Annales Polonici Mathematici, Tome 67 (1997) no. 1, pp. 87-93
Voir la notice de l'article provenant de 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.
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
@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 -
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