TABLE OF CONTENTS
THE PROBLEM, METHODS OF ATTACK, DIFFICULTIES
The representation problem for Freohet varieties . . . .5
The representation problem for Freohet surfaces 13
TOPOLOGICAL PRELIMINARIES
Monotoneity and lightness 22
Peano spaoes 23
2-manifolds 25
Mantoids 27
V
The Ceoh theory 31
The locally compact theory ..... 34
Cohomology theory of 2-manifolds and oanonioal regions . 38
Key theorems 43
COMPARABILITY AND CONSISTENCY
Hyper elements 47
Normal and simple regions ... .48
Cohomology on hyper elements 52
Compatibility &2
THE NECESSITY ARGUMENT
The case for 2-manifolds with boundary . 71
The case for closed 2-manifolds .81
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