Some problems on mountain climbing
Let f and g be two continuous, real-valued functions defined on [0,1] with f(0) = g(0) and f(l) = g(l). The main result of this thesis is to characterize the property that (0,0) and (1,1) are in the same connected component of G(f,g) = {(x,y)|f(x)=g(y)}. In Chapter I, we study conditions implying t...
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| Language: | English |
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University of British Columbia
2011
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| Online Access: | http://hdl.handle.net/2429/32040 |