Homework 3 SolutionsGreg ParkerSeptember 27, 20151 Munkres Section 20 Problem 4Considerf (t) = (t, 2t, 3t...) g(t) = (t, t...) h(t) = (t, 1/2t, 1/3t...)Notice that the order of topologies isProduct ⊂ Uniform ⊂ BoxIt is easier to converge in the weaker topologies,...
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Munkres Topology Solutions 下载积分: 1600 内容提示: 1st December 2004Munkres §35Ex. 35.3. Let X be a metrizable topological space.(i) ⇒ (ii): (We prove the contrapositive.) Let d be any metric on X and ϕ: X → R be anunbounded real-valued function on X. Then d(x,y) =...
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with some experience in axiomatic mathematics (I’ve always enjoyed Robert Ash’sA Primer of Abstract Mathematicsfor much of this material), but in my mind isn’t as clear or as thorough as James Munkres’Topology, which I find in general to be a much better book, particularly for the ...
New solutions to two of the resolved problems are also given. 关键词: topology point-set topology continuity algebraic topology homotopy homology cohomology differential topology manifolds and bundles DOI: doi:10.1007/BF01699114 年份: 1988