Ebook: Rings of Continuous Functions

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Content:
Front Matter....Pages i-9
Functions on a Topological Space....Pages 10-23
Ideals and z-Filters....Pages 24-35
Completely Regular Spaces....Pages 36-53
Fixed Ideals. Compact Spaces....Pages 54-65
Ordered Residue Class Rings....Pages 66-81
The Stone-Čech Compactification....Pages 82-100
Characterization of Maximal Ideals....Pages 101-113
Realcompact Spaces....Pages 114-129
Cardinals of Closed Sets in βX ....Pages 130-139
Homomorphisms and Continuous Mappings....Pages 140-153
Embedding in Products of Real Lines....Pages 154-160
Discrete Spaces. Nonmeasurable Cardinals....Pages 161-170
Hyper-Real Residue Class Fields....Pages 171-193
Prime Ideals....Pages 194-215
Uniform Spaces....Pages 216-239
Dimension....Pages 240-265
Back Matter....Pages 266-300

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Content:
Front Matter....Pages i-9
Functions on a Topological Space....Pages 10-23
Ideals and z-Filters....Pages 24-35
Completely Regular Spaces....Pages 36-53
Fixed Ideals. Compact Spaces....Pages 54-65
Ordered Residue Class Rings....Pages 66-81
The Stone-Čech Compactification....Pages 82-100
Characterization of Maximal Ideals....Pages 101-113
Realcompact Spaces....Pages 114-129
Cardinals of Closed Sets in βX ....Pages 130-139
Homomorphisms and Continuous Mappings....Pages 140-153
Embedding in Products of Real Lines....Pages 154-160
Discrete Spaces. Nonmeasurable Cardinals....Pages 161-170
Hyper-Real Residue Class Fields....Pages 171-193
Prime Ideals....Pages 194-215
Uniform Spaces....Pages 216-239
Dimension....Pages 240-265
Back Matter....Pages 266-300
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