A remark on CD0(K)-spaces

Date

2006-05-01

Author

Alpay, S.
Ercan, Z.

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A representation of the CDo (K)-space is given in [1, 2] for a compact Hausdorff space K without isolated points. We generalize this to an arbitrary countably compact space K without any assumption on isolated points.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/64758

Journal

SIBERIAN MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1007/s11202-006-0054-1

Collections

Department of Mathematics, Article

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A note on a theorem of Dwyer and Wilkerson Öztürk, Semra (Springer Science and Business Media LLC, 2001-01-03) We prove a version of Theorem 2.3 in [1] for the non-elementary abelian group Z(2) x Z(2n), n greater than or equal to 2. Roughly, we describe the equivariant cohomology of (union of) fixed point sets as the unstable part of the equivariant cohomology of the space localized with respect to suitable elements of the cohomology ring of Z(2) x Z(2n).
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On a Fitting length conjecture without the coprimeness condition Ercan, Gülin (Springer Science and Business Media LLC, 2012-08-01) Let A be a finite nilpotent group acting fixed point freely by automorphisms on the finite solvable group G. It is conjectured that the Fitting length of G is bounded by the number of primes dividing the order of A, counted with multiplicities. The main result of this paper shows that the conjecture is true in the case where A is cyclic of order p (n) q, for prime numbers p and q coprime to 6 and G has abelian Sylow 2-subgroups.
A formula for the joint local spectral radius Emel'yanov, EY; Ercan, Z (American Mathematical Society (AMS), 2004-01-01) We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space X in terms of the dual of X.

Citation Formats

S. Alpay and Z. Ercan, “A remark on CD0(K)-spaces,” SIBERIAN MATHEMATICAL JOURNAL, pp. 422–424, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64758.