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2. Genus (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Genus_(mathematics)

   The non-orientable genus, demigenus, or Euler genus of a connected, non-orientable closed surface is a positive integer representing the number of cross-caps attached to a sphere. Alternatively, it can be defined for a closed surface in terms of the Euler characteristic χ, via the relationship χ = 2 − k , where k is the non-orientable genus.

3. Genus g surface - Wikipedia

   en.wikipedia.org/wiki/Genus_g_surface

   In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g distinct tori: the interior of a disk is removed from each of g distinct tori and the boundaries of the g many disks are identified (glued together), forming a g-torus. The genus of such a surface is g. A genus g surface is ...

4. Mapping torus - Wikipedia

   en.wikipedia.org/wiki/Mapping_torus

   Mapping tori of surface homeomorphisms play a key role in the theory of 3-manifolds and have been intensely studied. If S is a closed surface of genus g ≥ 2 and if f is a self-homeomorphism of S , the mapping torus M f is a closed 3-manifold that fibers over the circle with fiber S .

5. Surface (topology) - Wikipedia

   en.wikipedia.org/wiki/Surface_(topology)

   The term surface used without qualification refers to surfaces without boundary. In particular, a surface with empty boundary is a surface in the usual sense. A surface with empty boundary which is compact is known as a 'closed' surface. The two-dimensional sphere, the two-dimensional torus, and the real projective plane are examples of closed ...

6. 8 Home Appliance Trends You'll See Everywhere in 2025 ... - AOL

   www.aol.com/8-home-appliance-trends-youll...

   Here, we spoke to a professional kitchen designer and an interior designer about what trends we're most likely to see everywhere in 2025—and why they’re in such high demand. Meet the Expert

7. AOL reviewed: The Wonder Oven is my go-to kitchen appliance ...

   www.aol.com/lifestyle/our-place-wonder-oven...

   One of the reasons why air fryers have exploded in popularity within the past decade is because they get meals on the table fast. Compared to the time spent waiting for a full-sized oven to ...