We calculate the universal Euler characteristic and universal dimension function on semilinear and semibounded sets and obtain some criteria for definable equivalence of semilinear and semibounded sets in terms of these invariants.
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
AbstractWe introduce a new geometric property (A˜2) and we show that it is equivalent to its uniform...
summary:The notion of dimensionally compact class in a biequivalence vector space is introduced. Sim...
We calculate the universal Euler characteristic and universal dimension function on semilinear and s...
We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a...
We express the Euler-Poincare ́ characteristic of a semi-algebraic set, which is the intersection of...
We are interested in computing alternate sums of Euler characteristics of some particular semialgebr...
AbstractIn this paper, we express the Euler characteristic of a semi-algebraic set which is an inter...
The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardina...
Abstract. A version of the precise definition of Euler–Venn diagram for a given family of subsets of...
The Euler characteristic of a finite category is defined and shown to be compatible with Euler chara...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
AbstractSemialgebraic sets (subsets of Rn defined by polynomial inequalities) and (discontinuous) se...
Abstract. Monotone (decreasing or increasing) families of equivalence re-lations on a set and the (p...
An elementary geometrical proof of the fact that the Euler characteristic is the only topological in...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
AbstractWe introduce a new geometric property (A˜2) and we show that it is equivalent to its uniform...
summary:The notion of dimensionally compact class in a biequivalence vector space is introduced. Sim...
We calculate the universal Euler characteristic and universal dimension function on semilinear and s...
We express the Euler-Poincaré characteristic of a semi-algebraic set, which is the intersection of a...
We express the Euler-Poincare ́ characteristic of a semi-algebraic set, which is the intersection of...
We are interested in computing alternate sums of Euler characteristics of some particular semialgebr...
AbstractIn this paper, we express the Euler characteristic of a semi-algebraic set which is an inter...
The Euler characteristic of a semialgebraic set can be considered as a generalization of the cardina...
Abstract. A version of the precise definition of Euler–Venn diagram for a given family of subsets of...
The Euler characteristic of a finite category is defined and shown to be compatible with Euler chara...
120 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2009.We define the Grothendieck se...
AbstractSemialgebraic sets (subsets of Rn defined by polynomial inequalities) and (discontinuous) se...
Abstract. Monotone (decreasing or increasing) families of equivalence re-lations on a set and the (p...
An elementary geometrical proof of the fact that the Euler characteristic is the only topological in...
Abstract. The theory of Hausdorff dimension provides a general notion of the size of a set in a metr...
AbstractWe introduce a new geometric property (A˜2) and we show that it is equivalent to its uniform...
summary:The notion of dimensionally compact class in a biequivalence vector space is introduced. Sim...