Homotopy classes of maps between Knaster continua

Details Homotopy classes of maps between Knaster continua Homotopy classes of maps between Knaster continua

1999-04-28

arxiv.org/abs/math/9904162v1

Mathematics

General Topology

7 pages, 1 figure

Scientific paper

By a Knaster continuum we understand the inverse limit of copies of [0,1]
with open bonding maps. We prove that for any two Knaster continua K_1 and K_2,
there are 2^\aleph_0 distinct homotopy types of maps of K_1 onto K_2 that map
the endpoint of K_1 to the endpoint of K_2.

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