March 3, 2026

Properties of Function Spaces

Key Points

Certain properties of topological T0-spaces remain intact when transitioning to function spaces, promoting structural consistency.
Continuity and homeomorphism characteristics are analyzed across these mathematical constructs for better understanding.
The exploration involves fundamental concepts of topology and their application to different mathematical contexts.
Understanding these properties allows for deeper insights into the relationships between various topological structures.

Abstract

We show that certain properties of topological T₀ -spaces are preserved when passing to function spaces.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Kudryashova et al. (Thu,) studied this question.

synapsesocial.com/papers/69a75e4dc6e9836116a28c2a — DOI: https://doi.org/10.1134/s0037446626010180

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

On Function Spaces. III· 2024 · 1 citations
Non-Hausdorff Topology and Domain Theory· 2013 · 287 citations
Coincidence of the Isbell and Scott topologies on domain function spaces· 2014 · 5 citations
Solutions to two problems of J.D. Lawson and M. Mislove· 1996 · 24 citations
Computable functionals of finite types· 1972 · 84 citations

Authors

M. I. Kudryashova

M. V. Schwidefsky

Journals

Siberian Mathematical Journal

Actions

Institutions

Novosibirsk State University

Sobolev Institute of Mathematics

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

On Function Spaces. III· 2024 · 1 citations
Non-Hausdorff Topology and Domain Theory· 2013 · 287 citations
Coincidence of the Isbell and Scott topologies on domain function spaces· 2014 · 5 citations
Solutions to two problems of J.D. Lawson and M. Mislove· 1996 · 24 citations
Computable functionals of finite types· 1972 · 84 citations

Properties of Function Spaces

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Also consider