On the Topological Fundamental Groups of Quotient Spaces

• Date: 2013
• Main Authors: Mashayekhy, B., Pakdaman, A., Torabi, H., Машаєхі, Б., Пакдаман, А., Торабі, Х.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2547
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let p: X → X/A be a quotient map, where A is a subspace of X. We study the conditions under which p ∗(π 1 qtop (X, x 0)) is dense in π 1 qtop (X/A,∗)), where the fundamental groups have the natural quotient topology inherited from the loop space and p * is a continuous homomorphism induced by the...