In this paper we assert that for each Φ-oriented 2-manifold (c.f : Definition 1.1) where ≥ 4 and ≠ 3(4), there is a well-defined quadratic function : (, ℤ) → ℚ/ℤ we call the secondary Brown-Kervaire quadratic forms, so that• ( + ) = () + () + ( ∪ )[],• the Witt class of is a...

In this note, we attack a question posed ten years ago by Tsukiyama about the injectivity of the so-called Forgetful map. We show that we can insert the Forgetful map in an exact sequence and that the problem can be reduced to the computation of the sequence which turns out unexpectedly to be...

In this note, we answer in negative a question posed by McGibbon[7] about the generic property of H-space structure. In fact we verify the conjecture of Roitberg [12]. Incidentally, the same example also answers in negative the open problem 10 in McGibbon[7]

A successful generalization of phantom map theory to the equivariant case for all compact Lie groups is obtained in this paper. One of the key observations is the discovery of the fact that homotopy fiber of equivariant completion splits as product of equivariant Eilenberg-Maclane spaces which...

In this paper, we prove that the Mislin genus of a (co-)H-map between (co-)H-spaces under certain natural conditions is a finite abelian group which generalizes results in Zabrodsky[9], McGibbon[6] and Hurvitz[5]

A closed subgroup of a topological group is a if there is a continuous cross section from to — that is, a continuous function Γ such that ∘ Γ = id (with : → the natural homomorphism).The symbol denotes an Abelian group with its Bohr topology, i.e., the topology induced by .A topological...

Time-to-event analyses are often concerned with the effects of explanatory factors on the underlying incidence density, but since there is no intrinsic interest in the form of the incidence density itself, a proportional hazards model is used. When part of the purpose of the analysis is to use...

Let be a minimal surface of general type with () = 0 for which the bicanonical map is a morphism. Then deg ≤ 4 by [7], and if it is equal to 4 then by [8]. We prove that if and deg = 4 then is a (see [12]). We show moreover that minimal surfaces with = 0, = 6 and bicanonical map of degree 4...

We prove some multiplicity results for the quasilinear elliptic system() 0, () 0, for all ∈ ℝ, .Further we establish the existence of at least one solution for the equationAlso the regularity of the solutions of the equation, as well as of the system is obtained. The coefficient functions...

We consider the Cauchy problem for the × strictly hyperbolic system of balance laws in one space dimensioneach characteristic field being genuinely nonlinear or linearly degenerate. We prove the existence of a unique Lipschitz flow of entropic solutions defined for with sufficiently small total...