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2 results

  • MULTIPLE LOOSE MAPS BETWEEN GRAPHS

  • Part of
  • MARCIO COLOMBO FENILLE
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 110 / Issue 3 / December 2024
    Published online by Cambridge University Press:
    22 April 2024, pp. 554-563
    Print publication:
    December 2024
    • Article
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  • Given maps $f_1,\ldots ,f_n:X\to Y$ between (finite and connected) graphs, with $n\geq 3$ (the case $n=2$ is well known), we say that they are loose if they can be deformed by homotopy to coincidence free maps, and totally loose if they can be deformed by homotopy to maps which are two by two coincidence free. We prove that: (i) if Y is not homeomorphic to the circle, then any maps are totally loose; (ii) otherwise, any maps are loose and they are totally loose if and only if they are homotopic.

  • 6 - Mapping Worlds: Tolkien’s Cartographic Imagination

  • Sally Bushell, Lancaster University
  • Book:
    Reading and Mapping Fiction
    Published online:
    11 June 2020
    Print publication:
    02 July 2020, pp 199-236

  • Summary

    Chapter Six considers the importance of the map for Fantasy with particular reference to J. R. R. Tolkien as the creator of that genre. Tolkien’s cartographic imagination in the process of creative composition is unique so that the chapter is largely devoted to a full exploration of this. The chapter works across Tolkien’s compositional process, tracing his need to map in order to write. The final section of the chapter draws attention to a post-authorial context for literary mapping, reflecting the larger cultural power and influence of Tolkien’s maps. (89)