Topology
--------

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[(Up)](../../README.md#topics) | _See also: [Mathematics](../Mathematics/README.md#mathematics), [Closure Systems](../Closure%20Systems/README.md#closure-systems)_

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### Web resources

[Comparison of topologies - Wikipedia, the free encyclopedia](https://en.wikipedia.org/wiki/Comparison_of_topologies#Lattice_of_topologies)

_(in [Matroid Theory](../Matroid%20Theory/README.md#matroid-theory))_ [general topology - Topological matroids? - Mathematics Stack Exchange](https://math.stackexchange.com/questions/960007/topological-matroids) ★


### Papers

The Lattice of Topologies: Structure and Complementation (online @ [www.ams.org](https://www.ams.org/journals/tran/1966-122-02/S0002-9947-1966-0190893-2/S0002-9947-1966-0190893-2.pdf)) 🏛️ [💭](commentary/Chris%20Pressey.md#the-lattice-of-topologies-structure-and-complementation)

Finite Topological Spaces (online @ [www.math.uchicago.edu](https://www.math.uchicago.edu/~may/MISC/FiniteSpaces.pdf)) ★★ [💭](commentary/Chris%20Pressey.md#finite-topological-spaces)

A Short Study of Alexandroff Spaces (online @ [arxiv.org](https://arxiv.org/abs/0708.2136)) ★ [💭](commentary/Chris%20Pressey.md#a-short-study-of-alexandroff-spaces)

_(in [Abstract Algebra](../Abstract%20Algebra/README.md#abstract-algebra))_ Interior Algebras and Varieties (online @ [core.ac.uk](https://core.ac.uk/download/pdf/81110356.pdf)) ★ [💭](commentary/Chris%20Pressey.md#interior-algebras-and-varieties)

_(in [Abstract Algebra](../Abstract%20Algebra/README.md#abstract-algebra))_ Varieties of Interior Algebras (online @ [eprints.illc.uva.nl](https://eprints.illc.uva.nl/id/eprint/1833/2/HDS-01-Wim_Blok.text.pdf)) [💭](commentary/Chris%20Pressey.md#varieties-of-interior-algebras)

_(in [Modal Logic](../Modal%20Logic/README.md#modal-logic))_ The Relationship between the Topological Properties and Common Modal Logics (online @ [pubs.sciepub.com](https://pubs.sciepub.com/jmsa/4/1/5/index.html)) ★ [💭](commentary/Chris%20Pressey.md#the-relationship-between-the-topological-properties-and-common-modal-logics)

_(in [Modal Logic](../Modal%20Logic/README.md#modal-logic))_ Topological semantics of modal logic (online @ [tsinghualogic.net](https://tsinghualogic.net/JRC/wp-content/uploads/2021/07/5thLecturewithReference.pdf)) ★★★ [💭](commentary/Chris%20Pressey.md#topological-semantics-of-modal-logic)

_(in [Modal Logic](../Modal%20Logic/README.md#modal-logic))_ Topology, Connectedness, and Modal Logic (online @ [www.dcs.bbk.ac.uk](https://www.dcs.bbk.ac.uk/~roman/papers/aiml-08-55.pdf), [web.archive.org](https://web.archive.org/web/20240413205519/https://www.dcs.bbk.ac.uk/~michael/AiML-08.pdf)) ★ [💭](commentary/Chris%20Pressey.md#topology-connectedness-and-modal-logic)

_(in [Modal Logic](../Modal%20Logic/README.md#modal-logic))_ A Modal Walk Through Space (online @ [web.archive.org](https://web.archive.org/web/20221001044857/https://www.cs.rug.nl/~aiellom/publications/lops2.pdf)) ★★ [💭](commentary/Chris%20Pressey.md#a-modal-walk-through-space)


### Books

Introduction to topology (borrow @ [archive.org](https://archive.org/details/introductiontoto0000mend)) ★

Counterexamples in Topology (borrow @ [archive.org](https://archive.org/details/counterexamplesi0000stee)) ★★★ [💭](commentary/Chris%20Pressey.md#counterexamples-in-topology)