Topological Interiority

Definition

Topological interiority is Johan Voordouw's programme for re-establishing interiority through topological geometries: interiority understood as "an internalized centralization of space, a condition with an inherent spatial intimacy," produced not by returning to "the static compartmentalization of rooms" nor by the "infinitely folded surface" left continuous, but by a fold that "deforms surface to form space." The concept has a negative and a positive pole.

Negative pole — the erasure of interiority. "Interiority is increasingly eroded in contemporary architectural practice; this enclosure has been methodically worn away." The erosion runs on two fronts: "The interior is therefore affronted from two directions: one is the erosion of the facade from the outside, the second is the increased transparency and openness within space itself. 'Open space' is increasingly synonymous with the outside." Its strongest formulation: "The outside is not only something to let in, there is no inside to be outside of." The topological surface completes the erasure structurally: "The opaqueness defines the surface but does little to define the interior; the continuity of the surface prevents the (programmatic) definition of the interior and the porosity prevents its (spatial) enclosure." With the facade gone, "the interiority that once contained the modern apartment is opened up like the back of a dollhouse, exposed to the outside." The condition's philosophical depth is Deleuze's monad read architecturally: "The monad is the autonomy of the inside, an inside without an outside," with a facade "riddled with holes – although there may be no voids, a hole being only the site of a more rarefied matter" — "This hole is topological. There is no void because the topology is a surface. The hole in the surface has no void because there is no volume."

Positive pole — the defined interior. "Interiority as a defined inside to a surrounding outside can retain the porosity but rescind the ambiguity that has previously undermined its articulation." The conditions: "the surface must spatialize, the interior must be demarcated, and the exterior must be defined as something 'out there.'" Interiority here is "not so much a defense against the outside as a counterpoint to recognize its boundaries and clarify its variability." The type is the enclosed topology: Spuybroek's H2Oexpo (1993–97), which "offers an enclosed topology… It combines ambiguity to facilitate new disparate modes of experience with defining a tectonic and space on the inside," and the Teshima Art Center (Nishizawa with engineer Mutsuro Sasaki): "The pure 'nothingness' of space that encapsulates the public inside a covered space beautifully frames the outside. This interiority is not for protection. It is simply a definition and difference from the outside in all its poetic subtlety." The material form of the programme: "This new étui is not so much the hermetic shell of modernity as the materialized network of the digital age."

Key Thinkers

• Johan Voordouw — the concept's author: the centralization definition, the two-front erasure diagnosis, the porosity/ambiguity distinction (retain porosity, rescind ambiguity), and the enclosed-topology programme (2018).
• Gilles Deleuze — the monad's interior: "the autonomy of the inside, an inside without an outside," and the facade's "independence… an outside without an inside" — space without architecture, surface without space (via The Fold, pp. 31–32).
• Sigfried Giedion — the historiographic foil: the "first space conception" as volumes in space, "outside looking at the object" — ancient architecture's lack of interior ("the space contained no windows to connect to the outside") against Deleuze's monad as its inverse.
• Henri Lefebvre — the test: subjects "situated in a space in which they must either recognize themselves or lose themselves, a space which they may both enjoy and modify" — the enjoy-and-modify condition the topological surface currently fails.
• Lars Spuybroek — the enclosed topology's builder: H2Oexpo's combination of "ambiguity to facilitate new disparate modes of experience with defining a tectonic and space on the inside."
• Walter Benjamin — the threshold witness: nineteenth-century Paris as "both the end of the Beaux Arts facade and the rise of the steel frame and its growing transparency" — the arcade whose inversion (interiority to exteriority) forms "the lineage towards transparency and nomadism."
• Le Corbusier — the static foil: the Dom-ino system, against which the topological surface measures "as staid and static… While it facilitates passive meandering, it stifles modification. While it is variable, it remains immobile."
• Ryue Nishizawa & Mutsuro Sasaki (Teshima Art Center) — the contemporary exemplar: "a definition and difference from the outside in all its poetic subtlety" (not paged — see log).
• Tim Ingold — the anti-ground witness: "the hegemony of the straight line is a phenomenon of modernity"; the meshwork of lines with "not insides or outsides, only openings and ways through" (not paged — see log).

Related Concepts

• topology — the concept's mathematical and formal substrate: the surface-study whose continuity produces the erasure the programme repairs.
• interiority — the parent concept: this page holds its spatial-centralizing register ("an internalized centralization of space"), set against the psychological (Taylor & Preston), fabricated (Manack), documented (Macken), and envelope-articulated (Vanucci) registers.
• threshold-to-gradient — the boundary condition the programme negotiates: "Knowing comes from definition; the gradient that is continually blurred is also the zone that prevents knowing."
• boundaries — the instrument: the two failing edge conditions (landscape-blend, violent cut) and the missing third — the threshold as "interval between things."
• hermetic-seal — the rejected enclosure: "This new étui is not so much the hermetic shell of modernity as the materialized network of the digital age" — the programme retains porosity where the seal refused negotiation.
• enclosure — the eroded condition: "this enclosure has been methodically worn away"; "the hybridity and ambiguity of programmatic thresholds have undermined the ability to define and enclose space; yet we reside inside."
• inside-outside-dialectic — the division re-posed: the outside as "the real" (Grosz), the monad's inside-without-outside, and the counterpoint (not defense) as the programme's resolution.
• objectile — the fold's object-level concept: the temporal modulation whose spatial yield the programme demands ("Space is now a result of form, not a means to form" — the gap to close).
• performative-envelope — the envelope-register neighbour: Vanucci's differentiated envelope produces interiority by articulation; Voordouw's continuous surface is the case where articulation collapses into continuity.
• liminality — the threshold's knowledge condition: "Threshold is a zone formed by precise tectonics, an area of knowledge and even of knowability" (Leenhardt, via Voordouw) — against "the gradient that is continually blurred… the zone that prevents knowing."
• surface-mathematics — the volume-forming counterpart: surfaces defined to enclose volume (shape < surface < volume) as the mathematical technology the spatializing fold would need.
• space — the structured condition: "Space is not found, it is structured, and from this structure interiority is constructed."
• static-vs-dynamic-architecture — the dynamism paradox: "for all the dynamism of topological surfaces, it remains as staid and static as the Dom-ino system."
• arcades — the inverted interior lineage: the arcade expanded "from line to network to field, from infrastructure to surface."

Source Support

Sources in the wiki that discuss this concept:

• Topology and interiority: Folding space inside (Voordouw 2018) — the concept's source: the centralization definition; the erasure diagnosis (connectivity, transparency-as-ethic, the dollhouse, the two-front affront); Lefebvre's ambiguous continuity and the enjoy-and-modify test; Ingold's quantitative line; the Giedion/Deleuze monad-facade pair and the topological hole; the Dom-ino critique; the latent hierarchy in the folds; the two edge conditions; the enclosed-topology exemplars (Kiesler's Endless House, Gillet's Sculpture House, H2Oexpo, Teshima, Rolex Learning Center, Taichung); Leenhardt's knowable threshold; the new étui.
• source-notes/erdman-2018-altered-estates

Open Questions

• Is "centralization" compatible with porosity? The programme retains porosity while demarcating — but a centralized, demarcated interior that remains porous is a threshold-problem, not a geometry-problem. What built detail enacts "retain[ing] the porosity but rescind[ing] the ambiguity"?
• The exemplars are collective and cultural (art centers, pavilions, learning centers). What is topological interiority's domestic scale — and does the "internalized centralization" generalize from the room, or is it a public-building condition?
• If interiority is "not so much a defense against the outside as a counterpoint," what does the topological interior do for its occupant that the modern room did not — and is "a definition and difference from the outside" sufficient interiority for the psychological registers (Taylor & Preston's reflexive innerness) the wiki's cluster also holds?
• The chapter states: "Interiority is not an argument for pure separation, recreating Giedion's first space conception to replace Deleuze's neo-Baroque." What is the third architecture between Giedion's windowless volume and Deleuze's windowless monad — and is it the Teshima shell, or something not yet built?
• The "materialized network of the digital age" as étui: can the network (connection) and the étui (enclosure) be one object, or does the network's constitutive porosity re-erode whatever the étui demarcates (cf. transarchitecture, non-places)?