Monads of indiscernibles
Monoidal closed structures for topological spaces : counter-example to a question of Booth and Tillotson
Monomorphisms and epimorphisms of inverse systems
Monomorphisms in spaces with Lindelöf filters
is the category of spaces with filters: an object is a pair , a compact Hausdorff space and a filter of dense open subsets of . A morphism is a continuous function for which whenever . This category arises naturally from considerations in ordered algebra, e.g., Boolean algebra, lattice-ordered groups and rings, and from considerations in general topology, e.g., the theory of the absolute and other covers, locales, and frames, though we shall specifically address only one of these...
Monomorphisms of semigroups of B-rigid local dendrites.
Monotone approximation of measurable multifunctions by simple multifunctions
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Monotone decompositions of continua
Monotone decompositions of continua into generalized arcs and simple closed curves
Monotone decompositions of continua irreducible about a finite subset
Monotone decompositions of hereditarily smooth continua
Monotone decompositions of hereditarily unicoherent continua via set functions and quasi-orders
Monotone decompositions of irreducible continua [Book]
Monotone extenders for bounded c-valued functions
Let c be the Banach space consisting of all convergent sequences of reals with the sup-norm, the set of all bounded continuous functions f: A → c, and the set of all functions f: X → c which are continuous at each point of A ⊂ X. We show that a Tikhonov subspace A of a topological space X is strong Choquet in X if there exists a monotone extender . This shows that the monotone extension property for bounded c-valued functions can fail in GO-spaces, which provides a negative answer to a question...
Monotone generalized nonlinear contractions in partially ordered metric spaces.
Monotone homogeneity of dendrites
Sufficient as well as necessary conditions are studied for a dendrite or a dendroid to be homogeneous with respect to monotone mappings. The obtained results extend ones due to H. Kato and the first named author. A number of open problems are asked.
Monotone increasing covers and paracompactness
Monotone mappings and cellularity of ordered sets
Monotone meta-Lindelöf spaces
In this paper, we study the monotone meta-Lindelöf property. Relationships between monotone meta-Lindelöf spaces and other spaces are investigated. Behaviors of monotone meta-Lindelöf -spaces in their linearly ordered extensions are revealed.
Monotone normality and extension of functions
We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.
Monotone retractions and depth of continua
It is shown that for every two countable ordinals and with there exist -dendroids and whose depths are and respectively, and a monotone retraction from onto . Moreover, the continua and can be either both arclike or both fans.