The popularity of medial axis in shape modeling and analysis comes from several of its well known fundamental properties. For example, medial axis captures the connectivity of the domain, has a lower dimension than the space itself, and is closely related to the distance function constructed over the same domain. We formally define the new concept of a medial zone of an n-dimensional semi-analy...

A skew generalized power series ring R[[S, ω]] consists of all functions from a strictly ordered monoid S to a ring R whose support contains neither infinite descending chains nor infinite antichains, with pointwise addition, and with multiplication given by convolution twisted by an action ω of the monoid S on the ring R. Special cases of the skew generalized power series ring construction are...

This paper is concerned with the computation of the topological gradient associated to a fourth order Kirchhoff type partial differential equation and to a second order cost function. This computation is motivated by fine structure detection in image analysis. The study of the topological sensitivity is performed both in the cases of a circular inclusion and a crack. Résumé. Ce papier porte sur...

The aim of this paper is to establish a connection between the topology of the automorphism group of a symplectic manifold (M,ω) and the quantum product on its homology. More precisely, we assume that M is closed and connected, and consider the group Ham(M,ω) of Hamiltonian automorphisms with the C-topology. Ham(M,ω) is a path-connected subgroup of the symplectic automorphism group Aut(M,ω); if...

Let Mm be an oriented manifold and let N a set consisting of closed manifolds the same odd dimension n. We consider topological space GN,M commutative diagrams. Each diagram consists few from that are mapped to M one point spaces pt each pair N. bordism group Ω⁎(GN,M)=⊕i=0∞Ωi(GN,M). introduce operations ⋆ [⋅,⋅] on Ω⁎(GN,M)⊗Q, make Ω⁎(GN,M)⊗Q into Z-graded (m−2n)-Poisson algebra. For N={S1} surf...

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

In 1990, Comfort asked: is there, for every cardinal number α≤2c, a topological group G such that Gγ countably compact all cardinals γ<α, but Gα not compact? A similar question can also be asked pracompact groups: which α there pracompact? this paper we construct in the case α=ω, assuming existence of c incomparable selective ultrafilters, and α=κ+, with ω≤κ≤2c, 2c ultrafilters. particular, und...

in this paper, the urysohn and completely hausdorff axioms in general topology are generalized to l-topological spaces so as to be compatible with pointwise metrics. some properties and characterizations are also derived

In a recent paper (Cf. [19]), we have presented the definitions and essential properties of generalized topological operators &#x0D; g-Int_g, g-Cl_g : P (Ω) −→ (g-T_g-interior g-T_g-closure operators) in space T_g = (Ω, T_g) (T_g-space). Principally, have&#x0D; shown that (g-Int_g , g-Cl_g) × is ∅)-grounded, (expansive, non-expansive), (idempotent, idempotent) (∩, ∪)-additive. We also g-Int_g f...