Hereditary, continuous, homotopy, isotopy, productive and expansive topological properties

Moore, Margaret Mary (1988) Hereditary, continuous, homotopy, isotopy, productive and expansive topological properties. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (9MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

Several separation axioms, connectedness and compactness as well as a number of other general topological properties are studied to determine whether or not they are invariant with respect to heredity, closed heredity, open heredity, continuity, open continuity, closed continuity, divisibility, retractions, projections, homotopy and isotopy equivalences, as well as finite, countable, and arbitrary products, and also with respect to contractions and expansions of the topology of a space. Of the resulting four hundred eighty questions, all but seven can be answered. The resulting answers, found and discussed in the paper, are also tabulated in several tables.

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