The New Encyclopaedia Britannica: Macropaedia (19 v.)Encyclopaedia Britannica, 1983 - Encyclopedias and dictionaries |
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Page 491
... examples of topological groups : Example 1. G is the set of all real numbers with addi- tion as the group product . Example 2. G is the set of all complex numbers z with z = 1 and with multiplication as the group product . Example 3. G ...
... examples of topological groups : Example 1. G is the set of all real numbers with addi- tion as the group product . Example 2. G is the set of all complex numbers z with z = 1 and with multiplication as the group product . Example 3. G ...
Page 505
... example , if X = D " , then L ( f ) = 1 for all f . The Lefschetz number is a first example of an algebraic invariant to be discussed immediately below . Invariants . A quantity depending on a space X or a map is an invariant if it is ...
... example , if X = D " , then L ( f ) = 1 for all f . The Lefschetz number is a first example of an algebraic invariant to be discussed immediately below . Invariants . A quantity depending on a space X or a map is an invariant if it is ...
Page 507
... example , may be regarded as a family of intervals , parameterized by the points of a cir- cle . Another example is given by the family of tangent spaces to a manifold . In this example every fibre is a vector space ; such examples are ...
... example , may be regarded as a family of intervals , parameterized by the points of a cir- cle . Another example is given by the family of tangent spaces to a manifold . In this example every fibre is a vector space ; such examples are ...
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