#### 3 Citations

Compact groups and absolute extensors

- Mathematics
- 1999

We discuss compact Hausdorff groups from the point of view of the general theory of absolute extensors. In particular, we characterize the class of simple, connected and simply connected compact Lie… Expand

CONTINUOUS HOMOMORPHISMS OF ARENS-MICHAEL ALGEBRAS

- Mathematics
- 1999

It is shown that every continuous homomorphism of Arens-Michael algebras can be obtained as the limit of a morphism of certain projective systems consisting of Frechet algebras. Based on this, we… Expand

Infinite Dimensional Topology and Shape Theory

- Mathematics
- 2001

Infinite dimensional topology, in its traditional understanding, is a branch of geometric topology which studies infinite dimensional spaces, arising naturally in topology and functional analysis.… Expand

#### References

SHOWING 1-10 OF 17 REFERENCES

Functors and uncountable powers of compacta

- Mathematics
- 1981

CONTENTSIntroduction § 1. The spectral theorem § 2. Open-generated compact Hausdorff spaces § 3. Elementary properties of functors § 4. Spectral analysis of functor-powersReferences

Locally convex linear topological spaces that are homeomorphic to the powers of the real line

- Mathematics
- 1991

We give a characterization of locally convex linear topological spaces that are homeomorphic to the uncountable powers of the real line.

Infinite abelian groups, whitehead problem and some constructions

- Mathematics
- 1974

We solve here some problems from Fuchs’ book. We show that the answer to Whitehead’s problem (for groups of power ℵ1) is independent from the usual axioms of set theory. We prove the existence of… Expand

COMPACT GROUPS AND FIXED POINT SETS

- Mathematics
- 1997

Some structure theorems for compact abelian groups are derived and used to show that every closed subset of an infinite compact metrizable group is the fixed point set of an autohomeomorphism. It is… Expand

Topological groups homeomorphic to products of discrete spaces

- Mathematics
- 1993

Abstract We give necessary and sufficient conditions for a topological group to be homeomorphic to a product of the form Nκ × Dτ, where κ and τ are infinite cardinals and N and D denote countable… Expand

Hilbert space is homeomorphic to the countable infinite product of lines

- Mathematics
- 1966

As a consequence of this theorem it is possible to investigate topological properties of l2 as topological properties of s. In turn s is a "natural" subset of the Hilbert cube (the countable infinite… Expand

Algebra

- Nature
- 1941

THIS is a text–book intended primarily for undergraduates. It is designed to give a broad basis of knowledge comprising such theories and theorems in those parts of algebra which are mentioned in the… Expand

Inverse Spectra

- North Holland, Amsterdam
- 1996

Absolute extensors in dimension n and n-soft mappings raising dimension

- Russian Math. Surveys 39, No. 5
- 1984

Absolute extensors in dimension n and n-soft mappings raising dimension, Russian Math

- Surveys
- 1984