Scott, Godfrey Peter (1968) Some problems in topology. PhD thesis, University of Warwick.

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Abstract

This thesis consists of four papers, entitled

(i) Homotopy links,
(ii) A Note on Piecewise-linear Immersions,
(iii) Open and Closed Disc Bundles,
(iv) The Space of Homeomorphisms of a 2-manifold.

In (i), we define homotopy links and caloulate them in the metastable range.

In (ii), we prove the Haefliger-Poenaru immersion theorem, using block bundles.

In (iii), we prove that 02 = PL2(I) = PL2.

In (iv), we prove that the space of PL homeomorphisms of a 2-manifold, fixed on the boundary and an interior point, has contractible identity component unless the manifold is S2 or P2.

Item Type:	Thesis or Dissertation (PhD)
Subjects:	Q Science > QA Mathematics
Library of Congress Subject Headings (LCSH):	Topology, Homotopy theory, Immersions (Mathematics)
Official Date:	July 1968
Dates:	Date Event July 1968 Submitted
Institution:	University of Warwick
Theses Department:	Mathematics Institute
Thesis Type:	PhD
Publication Status:	Unpublished
Supervisor(s)/Advisor:	[Not specified]
Extent:	59 leaves.
Language:	eng

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