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Factorizations
of surjective maps of connected quandles
Tori Braun, Charlotte Crotwell, Alfred B.H. Liu, Paul Weston and David N. Yetter
Vol. 14 (2021), No. 1, 53–64
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Abstract |
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We consider the problem of when one quandle homomorphism will factor through another, restricting our attention to the case where all quandles involved are connected. We provide a complete solution to the problem for surjective quandle homomorphisms using the structure theorem for connected quandles of Ehrman et al. (J. Knot Theory Ramifications 17:4 (2008), 511–520) and the factorization system for surjective quandle homomorphisms of Bunch et al. (J. Knot Theory Ramifications 19:9 (2010), 1145–1156) as our primary tools. |
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Keywords
quandles, quandle homomorphisms, factorization
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Mathematical Subject Classification 2010
Primary: 20N05
Secondary: 57M25
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Milestones
Received: 24 September 2019
Accepted: 2 November 2020
Published: 4 March 2021
Communicated by Józef H. Przytycki
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Authors |
| Tori Braun | |
| Department of Mathematical
Sciences Ripon College Ripon, WI United States |
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| Charlotte Crotwell | |
| Department of Mathematics University of South Carolina Columbia, SC United States |
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| Alfred B.H. Liu | |
| Department of Mathematics,
Statistics and Computer Science St. Olaf College Northfield, MN United States |
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| Paul Weston | |
| Department of Mathematics and
Statistics Boston University Boston, MA United States |
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| David N. Yetter | |
| Department of Mathematics Kansas State University Manhattan, KS United States |
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