Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry |
Contents
DUALITY OF FUNCTORS | 1 |
STRUCTURE OF UNITARY REPRESENTATIONS OF LOCALLY BICOMPACT GROUPS AND SYMMETRIC REPRESENTATIONS OF ALGEBR... | 36 |
ON LIE GROUPS TRANSITIVE ON COMPACT MANIFOLDS | 59 |
SYMMETRY PRINCIPLE FOR MULTIPLY CONNECTED DOMAINS AND SOME OF ITS APPLICATIONS | 73 |
ON THE SPECTRAL DECOMPOSITION OF TOPOLOGICAL SPACES | 87 |
SPACES OF TRANSFINITE DIMENSIONALITY | 135 |
ON THE REGULARITY OF THE PROXIMITY PRODUCT OF REGULAR SPACES | 149 |
AN EXAMPLE OF A NONTRIVIAL TOPOLOGIZATION OF THE FIELD OF RATIONAL NUMBERS COMPLETE LOCALLY BOUNDED FIELDS | 159 |
A HOMOTOPY CRITERION FOR A POINTWISE MAPPING | 180 |
ON TWODIMENSIONAL ALGEBRAIC TORI | 190 |
ON THE CLASSIFICATION OF nDIMENSIONAL VECTORBUNDLES OVER AN ALGEBRAIC CURVE OF ARBITRARY GENUS | 196 |
ORDER AND EXPONENT OF AN ELLIPTIC CURVE | 212 |
THE ASYMPTOTIC BEHAVIOR OF THE NUMBER OF CLOSED GEODESICS ON A COMPACT MANIFOLD OF NEGATIVE CURVATURE | 227 |
CHARACTERIZATION OF TYPES OF CONFORMALLY FLAT FOURDIMENSIONAL RIEMANNIAN SPACES | 251 |
Common terms and phrases
Akad algebra arbitrary bicompact subsets commutative compact completely regular space consider construct contained continuous on bicompact Corollary countable metric space cube curve D-category defined denote Dokl domain elements equal exists extension field final-compact finite number follows function functor functor F functorial isomorphism geodesic geodesic flow Hausdorff homeomorphic horocycle horospheres induction integer intersection isomorphism Lemma Lie group linear locally finite locally finite covering manifold mapping f Math matrix divisors maximal metric space morphism Nauk SSSR normal locally finite object H obtain operator pairs paracompact spaces projective limit Proof Proposition prove proximity spaces R₁ R₂ rational numbers respect satisfies second countable second countable metric sequence spectral decomposition spectral limit spectrum subgroup symmetric Theorem topological spaces topology transfinite dimensionality transl uniform space vector w-mapping