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Homology under monotone maps between fin...

Bradley, Patrick Eri...

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Homology under monotone maps between finite topological spaces by Bradley, Patrick Erik ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	It is shown that a surjective monotone map $X\to Y$ between finite $T_0$-spaces induces a surjective map on homology. As such a map turns out to be a sequence of edge contractions in the Hasse diagram of $X$, followed by a homeomorphism, this leads to an explicit relation between the Betti numbers of $X$ to those of $Y$ and the cokernels of the edge contraction maps on the order complexes.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1312.1191

Citation

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AMA 11th EditionReferences

Bradley, Patrick Erik. Homology under monotone maps between finite topological spaces. Australian National University. September 01, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/22910

APA 7th EditionReferences

Bradley, Patrick Erik. (2023). Homology under monotone maps between finite topological spaces. Australian National University. https://online.provdatabase.com/cite/22910

Chicago 17th EditionReferences

Bradley, Patrick Erik. Homology under monotone maps between finite topological spaces. Australian National University. 2023. https://online.provdatabase.com/cite/22910

HarvardReferences

Bradley, Patrick Erik. (2023). Homology under monotone maps between finite topological spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/22910. (Accessed 20 September 2024).

Harvard AustraliaReferences

Bradley, Patrick Erik, 2023, Homology under monotone maps between finite topological spaces, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/22910>

MLA 9th EditionWorks Cited

Bradley, Patrick Erik. Homology under monotone maps between finite topological spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/22910.

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