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On Some Properties of Cohomotopy-Type Functors
-
S. Khazhomia
Published/Copyright:
February 23, 2010
Abstract
It is shown that if Πn, n > 2, are Chogoshvili's cohomotopy functors [Chogoshvili, Bull. Acad. Sci. Georgian SSR 97: 273-276, 1980, Khazhomia, Trudy Tbiliss. Mat. Inst. Razmadze 91: 81-87, 1988, Khazhomia, Georgian Math. J. 1: 151-171, 1994], then
the isomorphism
Πn(X1 × X2) ≈ Πn(X1) ⊕ Πn(X2)
holds for topological spaces X1 and X2;
the relations
rank Πn(X) = rank πn(X),
Tor Πn+1(X) ≈ Tor πn(X)
hold under certain restrictions for the space X.
Key words and phrases.: Extensions of functors; cohomology; cohomotopy; Moore-Postnikov decompositions
Received: 1993-05-19
Published Online: 2010-02-23
Published in Print: 1995-February
© 1995 Plenum Publishing Corporation
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Articles in the same Issue
- Continuous Transformations of Differential Equations with Delays
- On a Relationship between the Integrabilities of Various Maximal Functions
- On the Periodic Boundary-Value Problem for Systems of Second-Order Nonlinear Ordinary Differential Equations
- Roots of the Phase Operators
- On Separable Supports of Borel Measures
- On Some Properties of Cohomotopy-Type Functors
- Existence Theorems for Nonlinear Functional Differential Equations of Neutral Type
- Existence of Conjugate Points for Second-Order Linear Differential Equations
- Applications of the Method of Barriers I. Some Boundary-Value Problems
Keywords for this article
Extensions of functors;
cohomology;
cohomotopy;
Moore-Postnikov decompositions
Articles in the same Issue
- Continuous Transformations of Differential Equations with Delays
- On a Relationship between the Integrabilities of Various Maximal Functions
- On the Periodic Boundary-Value Problem for Systems of Second-Order Nonlinear Ordinary Differential Equations
- Roots of the Phase Operators
- On Separable Supports of Borel Measures
- On Some Properties of Cohomotopy-Type Functors
- Existence Theorems for Nonlinear Functional Differential Equations of Neutral Type
- Existence of Conjugate Points for Second-Order Linear Differential Equations
- Applications of the Method of Barriers I. Some Boundary-Value Problems
