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A scadic space is a Hausdorff continuous image of a product of compact scattered spaces. We complete a theorem begun by G. Chertanov that will establish that for each scadic space X, χ(X) = w(X). A ξ-adic space is a Hausdorff continuous image of a product of compact ordinal spaces. We introduce an either-or chain condition called Property $R_{λ}^{'}$ which we show is satisfied by all ξ-adic spaces. Whereas Property $R_{λ}^{'}$ is productive, we show that a weaker (but more natural) Property $R_{λ}$ is not productive. Polyadic...

We show that the Hilbert space is coarsely embeddable into any $ℓ_{p}$ for 1 ≤ p ≤ ∞. It follows that coarse embeddability into ℓ₂ and into $ℓ_{p}$ are equivalent for 1 ≤ p < 2.

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On c-continuous fundamental groups

On Čech cohomology and weakly confluent mappings into ANR's

On CE-images of the Hubert cube and characterization of Q-manifolds

On certain generalizations of the notion of continuity

On certain groups of functions.

On $𝒫$ -chain-net spaces.

On character and chain conditions in images of products

On Choquet's theory

On Ciric's fixed point theorem

On cliquish functions on product spaces

On closed and inductively closed images of products of metric spaces

On closed graph theorems in topological spaces and groups

On closed inverse images of base-paracompact spaces.

On closed mappings

On coarse embeddability into $ℓ_{p}$ -spaces and a conjecture of Dranishnikov

On common fixed points, periodic points, and recurrent points of continuous functions.

On compact-covering and sequence-covering images of metric spaces

On compactification of absolute retracts

On complete measurability of multifunctions defined on product spaces.

On completely continuous mappings

Currently displaying 81 – 100 of 477