"While there is a wealth of information pertaining to inverse limits with single valued bonding maps, comparatively little is known about inverse limits with upper semi-continuous set valued bonding functions. In order to add somewhat to the communal knowledge on the subject, this paper provides an example of an inverse limit with a single upper semi-continuous set valued bonding function. It is then shown that the space is a continuum, and its structure is examined via its arc components and through various of its properties, such as dimension and decomposability"--Abstract, page iii.
Charatonik, W. J.
Roe, Robert P.
Morgan, Ilene H.
Mathematics and Statistics
M.S. in Mathematics
Missouri University of Science and Technology
vi, 30 pages
© 2010 Christopher David Jacobsen, All rights reserved.
Thesis - Open Access
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Link to Catalog Recordhttp://laurel.lso.missouri.edu/record=b8070698~S5
Jacobsen, Christopher David, "Inverse limits with upper semi-continuous set valued bonding functions: an example" (2010). Masters Theses. 5012.