We show that a compactum is locally connected if and only if every semimonotone mapping onto it is also monotone. If we put open in place of monotone, we obtain the finite compacta; if we put in confluent, we obtain a large class of compacta, the connected members of which are connected im kleinen at each of their cut points.

A compact LOTS has an ω 1 -like base if and only if it is metrizable. An infinite cardinal κ is the Noetherian type of a compact LOTS if and only if κ 6= ω1 and κ is not weakly inaccessible. If X is a homogeneous compactum with regular weight, then every base of X contains an Nt(X)op-like

Let T be an algebraic automorphism of Tm having the following property: the characteristic polynomial of its matrix is irreducible over Q, and a Pisot number β is one of its roots. We define the mapping φt acting from the twosided β-compactum onto Tm as follows: φt(ε̄) = ∑

In this paper we give sufficient conditions for a compactum in R to have Carathéodory number less than n+ 1, generalizing an old result of Fenchel. Then we prove the corresponding versions of the colorful Carathéodory theorem and give a Tverberg-type theorem for families of convex compacta.

We show that if Cp(X×Z) is homeomorphic to Cp(Y×Z), where Z compact, and X Y are of countable netweight, then Cp(X×M) Cp(Y×M) for some metric compactum M. Spaces X,Y,Z, M assumed nonempty.

mycophenolic acid is a secondary extracellular metabolite of penicillium strains with numerous pharmaceutical properties such as antibiotic and immunosuppressive uses. the aim of this work is the survey of the effect of phenylglyoxal and n-ethylmaleimide concentration in culture medium on mycophenolic acid production by penicillium brevi-compactum atcc16024 was investigated. batch submerged fer...

A homeomorphism f : X → X of a compactum X is expansive (resp. continuum-wise expansive) if there is c > 0 such that if x, y ∈ X and x 6= y (resp. if A is a nondegenerate subcontinuum of X), then there is n ∈ Z such that d(f(x), f(y)) > c (resp. diam f(A) > c). We prove the following theorem: If f is a continuum-wise expansive homeomorphism of a compactum X and the covering dimension of X is po...