Multiplication is Discontinuous in the Hawaiian Earring Group (with the Quotient Topology)
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Publication:3008469
DOI10.4064/ba59-1-9zbMath1229.54046arXiv0909.3086OpenAlexW2962916289MaRDI QIDQ3008469
Publication date: 15 June 2011
Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.3086
Topological groups (topological aspects) (54H11) Quotient spaces, decompositions in general topology (54B15) Homotopy groups (55Q99)
Related Items (16)
On the discontinuity of the \(\pi_1\)-action ⋮ A new topology on the universal path space ⋮ A core-free semicovering of the Hawaiian earring ⋮ On maps with continuous path lifting ⋮ On topological shape homotopy groups ⋮ A natural pseudometric on homotopy groups of metric spaces ⋮ The topological fundamental group and free topological groups ⋮ The comparison of topologies related to various concepts of generalized covering spaces ⋮ Topological coarse shape homotopy groups ⋮ On topological homotopy groups and relation to Hawaiian groups ⋮ On fundamental groups with the quotient topology ⋮ Some results in quasitopological homotopy groups ⋮ Topological Realisations of Absolute Galois Groups ⋮ On first countable quasitopological homotopy groups ⋮ Eilenberg-Mac Lane spaces for topological groups ⋮ On topologized fundamental groups with small loop transfer viewpoints
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