Perfect maps are exponentiable - categorically.
Perfect maps in compact (countably compact) spaces.
Perfect pre-images of cofinally complete metric spaces
We show that a Tychonoff space is the perfect pre-image of a cofinally complete metric space if and only if it is paracompact and cofinally Čech complete. Further properties of these spaces are discussed. In particular, cofinal Čech completeness is preserved both by perfect mappings and by continuous open mappings.
Perfect sets of independent functions
Perfectly supportable semigroups are σ-discrete in each Hausdorff shift-invariant topology
In this paper we introduce perfectly supportable semigroups and prove that they are σ-discrete in each Hausdorff shiftinvariant topology. The class of perfectly supportable semigroups includes each semigroup S such that FSym(X) ⊂ S ⊂ FRel(X) where FRel(X) is the semigroup of finitely supported relations on an infinite set X and FSym(X) is the group of finitely supported permutations of X.
Perfectness of the Higson and Smirnov compactifications
We provide a necessary and sufficient condition for the Higson compactification to be perfect for the noncompact, locally connected, proper metric spaces. We also discuss perfectness of the Smirnov compactification.
Period structure for pointwise periodic isometries of continua
Periodic homeomorphisms of chainable continua
Periodic homeomorphisms of the 3-sphere
Periodic homeomorphisms on T-like continua
Periodic orbits indices
Periodic orbits of maps with an infinite number of partition points.
Periodic points of a continuous map of the interval
Periodic points of symmetric product mappings
Periodic solutions for nonautonomous differential equations and inclusions in tubes.
Periodicity and almost periodicity in Markov lattice semigroups
Periods and entropy for Lorenz-like maps
We characterize the set of periods and its structure for the Lorenz-like maps depending on the rotation interval. Also, for these maps we give the best lower bound of the topological entropy as a function of the rotation interval.
Periods of periodic points for transitive degree one maps of the circle with a fixed point.
Peripherally compact mappings
Ph-closed bitopological spaces