COHOMOLOGICAL DIMENSION THEORY OF COMPACT METRIC SPACES

By Alexander Dranishnikov. 2005

83 citations recorded by the source corpus.

This is a detailed introductory survey of the cohomological dimension theory of compact metric spaces.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ed3153d99cb4f7b39d7530ad4525426646212799

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. S. Buyalo
2. Nina Lebedeva
3. Alexander Dranishnikov

In Mathematical Physics

1. S. Buyalo
2. Nina Lebedeva
3. Alexander Dranishnikov

Citations in the corpus

• Dimensions of locally and asymptotically self-similar spaces (2005, methodology): “We have 2 Dr3 , Example 1.9], we obtain dimQ �p = dimZq �p = 1 for every prime q 6= p and dimZp �p = 2. The last equality together with the estimate dim�p ≤ 2 implies that dim�p = 2.”