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Product invariant properties of topological spaces
Laiser, Naaman
Laiser, Naaman
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t1965_Laiser.pdf
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1965-04
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Abstract
This is a collection of some product invariant properties of topological spaces. It is presented in three main parts, and the conclusion. The first part uses the product of two topological spaces, and it consists of both the properties that are given by a number of sources to be invariant as well as the verification of the invariance of others which were suggested in part by William J. Pervin [5, P. 134] , and partly by Dr. R. E. Douglas Jones, the thesis advisor. Following this is a collection of properties of products in the general case and in the case involving finitely many spaces. The final part considers those properties which are preserved in the product of two spaces having different properties. In the conclusion the whole collection is given in two tables.
Table of Contents
Introduction -- I. Properties in $X_1$ x $X_2$ -- II. Properties in the general case and in the case of a finite number of spaces -- III. Properties in $X_1$ x $X_2$ with properties of $X_1$ different from those of $X_2$ -- Conclusion -- Bibliography
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Thesis (M.A.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics
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Wichita State University
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Wichita State University