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On uniform metrizability of the functor of idempotent probability measures
uniformly metrizability of functors idempotent probability measures General Topology
2012/4/17
In the present paper we show that the functor of idempotent probability measures satisfies all of conditions with an additional claim of uniform metrizability of functors.
Homotopy categories and idempotent completeness, weight structures and weight complex functors
Homotopy category idempotent completeness weight structure w-structure weight complex functor
2011/8/26
Abstract: This article provides some basic results on weight structures, weight complex functors and homotopy categories. We prove that the full subcategories K(A)^{w < n}, K(A)^{w > n}, K(A)^- and K(...
Construction of schemes over $F_1$, and over idempotent rings: towards tropical geometry
$F_1$ over idempotent rings towards tropical geometry
2010/11/26
In this paper, we give some categorical description of the general spectrum functor, defining it as an adjoint of a global section functor.The general spectrum functor includes that of F1 and of semir...
Subgroups of free idempotent generated semigroups: full linear monoid
Subgroups free idempotent generated semigroups: full linear monoid
2010/12/14
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application,we show that the rank 1 component of the free idempotent generated semigroup...
