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NEW EXAMPLES OF TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS WITH DIFFERENT METRIC PROPERTIES
TOPOLOGICALLY EQUIVALENT S-UNIMODAL MAPS DIFFERENT METRIC PROPERTIES
2015/9/25
We construct examples of topologically conjugate unimodal maps, such that both of them have an absolutely continuous invariant measure, but for one of them that measure is finite, and for another one ...
Amphicheiral links with special properties, II
amphicheiral link Jones polynomial HOMFLY polynomial Alexander polynomial
2011/8/23
Abstract: We determine prime amphicheiral links with at least 2 components and up to 11 crossings. There are 27 such links. We check also special amphicheiralities. Most of prime links with up to 11 c...
Amphicheiral links with special properties, I
algebraically split link amphicheiral link invertible link Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the Alexander polynomial of an alge...
Some Properties of Finitely Presented Groups with Topological Viewpoints
Finitely presented group Fundamental group Homotopy group
2011/1/19
In this paper, using some properties of fundamental groups and covering spaces of connected polyhedra and CW-complexes, we present topological proof for some famous theorems about finitely presented g...
Order-theoretic properties of bases in topological spaces I
Noetherian type Open in finite OIF product box product
2011/2/22
We study some cardinal invariants of an order-theoretic fashion on products and box products of topological spaces. In particular, we concen-trate on the Noetherian type (Nt), defined by Peregudov in ...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
Topological properties of regular generalized function algebras
Topological properties regular generalized function algebras
2010/11/15
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions
Cohomological finiteness properties of the Brin-Thompson-Higman groups 2V and 3V
Cohomological finiteness properties Brin-Thompson-Higman groups 2V 3V
2010/12/10
We show that Brin’s generalisations 2V and 3V of the Thompson-Higman group V are of type FP1. Our methods also give a new proof that both groups are finitely presented.