Multiplicities of Peano maps: on a less known theorem by Hurewicz
Abstract
It is shown that the values of two highest multiplicities of Peano maps cannot be the values of openess.
This adds a new detail to the results by Hurewicz (1933), concerning dimension raising maps, when they are restricted to maps from the closed interval into the plane.
References
1. W. Hurewicz, Über dimensionserhöhende stetige Abbildungen, Journal für reine und angewandte Mathematik 169 (1933).
2. W. Sierpiński, Introduction to the theory of sets and topology (in Polish), Warszawa 1947 (second edition).
2. W. Sierpiński, Introduction to the theory of sets and topology (in Polish), Warszawa 1947 (second edition).
DębskiW., & MioduszewskiJ. (1995). Multiplicities of Peano maps: on a less known theorem by Hurewicz. Annales Mathematicae Silesianae, 9, 11-15. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14200
Wojciech Dębski
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Jerzy Mioduszewski
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland
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